38.243 * [progress]: [Phase 1 of 3] Setting up. 0.001 * * * [progress]: [1/2] Preparing points 0.150 * * * [progress]: [2/2] Setting up program. 0.158 * [progress]: [Phase 2 of 3] Improving. 0.159 * [simplify]: Simplifying: (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) 0.159 * * [simplify]: iteration 0: 13 enodes 0.164 * * [simplify]: iteration 1: 29 enodes 0.174 * * [simplify]: iteration 2: 59 enodes 0.234 * * [simplify]: iteration 3: 120 enodes 0.279 * * [simplify]: iteration 4: 328 enodes 0.505 * * [simplify]: iteration 5: 1541 enodes 1.069 * * [simplify]: iteration complete: 5000 enodes 1.069 * * [simplify]: Extracting #0: cost 1 inf + 0 1.069 * * [simplify]: Extracting #1: cost 169 inf + 0 1.072 * * [simplify]: Extracting #2: cost 1666 inf + 1 1.082 * * [simplify]: Extracting #3: cost 2154 inf + 127 1.094 * * [simplify]: Extracting #4: cost 2277 inf + 3690 1.122 * * [simplify]: Extracting #5: cost 1696 inf + 217499 1.293 * * [simplify]: Extracting #6: cost 193 inf + 1045012 1.526 * * [simplify]: Extracting #7: cost 0 inf + 1202666 1.787 * * [simplify]: Extracting #8: cost 0 inf + 1202415 2.022 * [simplify]: Simplified to: (* (/ 1.0 (sqrt k)) (pow (* PI (* n 2.0)) (/ (- 1.0 k) 2.0))) 2.024 * * [progress]: iteration 1 / 4 2.024 * * * [progress]: picking best candidate 2.032 * * * * [pick]: Picked # 2.032 * * * [progress]: localizing error 2.062 * * * [progress]: generating rewritten candidates 2.062 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 2.091 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1) 2.119 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 2.128 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 2.200 * * * [progress]: generating series expansions 2.200 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 2.201 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 2.201 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 2.201 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.201 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.201 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.202 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.202 * [taylor]: Taking taylor expansion of 0.5 in k 2.202 * [backup-simplify]: Simplify 0.5 into 0.5 2.202 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.202 * [taylor]: Taking taylor expansion of 1.0 in k 2.202 * [backup-simplify]: Simplify 1.0 into 1.0 2.202 * [taylor]: Taking taylor expansion of k in k 2.202 * [backup-simplify]: Simplify 0 into 0 2.202 * [backup-simplify]: Simplify 1 into 1 2.202 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.202 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.202 * [taylor]: Taking taylor expansion of 2.0 in k 2.202 * [backup-simplify]: Simplify 2.0 into 2.0 2.202 * [taylor]: Taking taylor expansion of (* n PI) in k 2.202 * [taylor]: Taking taylor expansion of n in k 2.202 * [backup-simplify]: Simplify n into n 2.202 * [taylor]: Taking taylor expansion of PI in k 2.202 * [backup-simplify]: Simplify PI into PI 2.202 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.202 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.202 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.205 * [backup-simplify]: Simplify (- 0) into 0 2.206 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.206 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.206 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.206 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.206 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.206 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.206 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.206 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.206 * [taylor]: Taking taylor expansion of 0.5 in n 2.206 * [backup-simplify]: Simplify 0.5 into 0.5 2.206 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.206 * [taylor]: Taking taylor expansion of 1.0 in n 2.206 * [backup-simplify]: Simplify 1.0 into 1.0 2.207 * [taylor]: Taking taylor expansion of k in n 2.207 * [backup-simplify]: Simplify k into k 2.207 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.207 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.207 * [taylor]: Taking taylor expansion of 2.0 in n 2.207 * [backup-simplify]: Simplify 2.0 into 2.0 2.207 * [taylor]: Taking taylor expansion of (* n PI) in n 2.207 * [taylor]: Taking taylor expansion of n in n 2.207 * [backup-simplify]: Simplify 0 into 0 2.207 * [backup-simplify]: Simplify 1 into 1 2.207 * [taylor]: Taking taylor expansion of PI in n 2.207 * [backup-simplify]: Simplify PI into PI 2.207 * [backup-simplify]: Simplify (* 0 PI) into 0 2.207 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.208 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.209 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.210 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.210 * [backup-simplify]: Simplify (- k) into (- k) 2.210 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.210 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.211 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.212 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.213 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.213 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.213 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.213 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.213 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.213 * [taylor]: Taking taylor expansion of 0.5 in n 2.213 * [backup-simplify]: Simplify 0.5 into 0.5 2.213 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.213 * [taylor]: Taking taylor expansion of 1.0 in n 2.213 * [backup-simplify]: Simplify 1.0 into 1.0 2.213 * [taylor]: Taking taylor expansion of k in n 2.213 * [backup-simplify]: Simplify k into k 2.213 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.213 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.213 * [taylor]: Taking taylor expansion of 2.0 in n 2.213 * [backup-simplify]: Simplify 2.0 into 2.0 2.213 * [taylor]: Taking taylor expansion of (* n PI) in n 2.213 * [taylor]: Taking taylor expansion of n in n 2.213 * [backup-simplify]: Simplify 0 into 0 2.213 * [backup-simplify]: Simplify 1 into 1 2.213 * [taylor]: Taking taylor expansion of PI in n 2.213 * [backup-simplify]: Simplify PI into PI 2.213 * [backup-simplify]: Simplify (* 0 PI) into 0 2.214 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.215 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.216 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.216 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.216 * [backup-simplify]: Simplify (- k) into (- k) 2.216 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.216 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.217 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.218 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.219 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.219 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 2.219 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 2.219 * [taylor]: Taking taylor expansion of 0.5 in k 2.219 * [backup-simplify]: Simplify 0.5 into 0.5 2.219 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 2.219 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.219 * [taylor]: Taking taylor expansion of 1.0 in k 2.219 * [backup-simplify]: Simplify 1.0 into 1.0 2.219 * [taylor]: Taking taylor expansion of k in k 2.219 * [backup-simplify]: Simplify 0 into 0 2.219 * [backup-simplify]: Simplify 1 into 1 2.219 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 2.219 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.219 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.219 * [taylor]: Taking taylor expansion of 2.0 in k 2.219 * [backup-simplify]: Simplify 2.0 into 2.0 2.219 * [taylor]: Taking taylor expansion of PI in k 2.219 * [backup-simplify]: Simplify PI into PI 2.219 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.220 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.220 * [taylor]: Taking taylor expansion of (log n) in k 2.220 * [taylor]: Taking taylor expansion of n in k 2.220 * [backup-simplify]: Simplify n into n 2.220 * [backup-simplify]: Simplify (log n) into (log n) 2.220 * [backup-simplify]: Simplify (- 0) into 0 2.221 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.221 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 2.222 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 2.223 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 2.223 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.224 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 2.225 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.225 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.227 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.227 * [backup-simplify]: Simplify (- 0) into 0 2.227 * [backup-simplify]: Simplify (+ 0 0) into 0 2.227 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 2.228 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.229 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 2.230 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.230 * [taylor]: Taking taylor expansion of 0 in k 2.230 * [backup-simplify]: Simplify 0 into 0 2.230 * [backup-simplify]: Simplify 0 into 0 2.231 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.232 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 2.232 * [backup-simplify]: Simplify (+ 0 0) into 0 2.233 * [backup-simplify]: Simplify (- 1) into -1 2.233 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.235 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 2.237 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2.240 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 2.243 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 2.245 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.246 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.250 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 2.250 * [backup-simplify]: Simplify (- 0) into 0 2.251 * [backup-simplify]: Simplify (+ 0 0) into 0 2.252 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 2.253 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.255 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.257 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.257 * [taylor]: Taking taylor expansion of 0 in k 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.257 * [backup-simplify]: Simplify 0 into 0 2.258 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.262 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 2.264 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 2.264 * [backup-simplify]: Simplify (+ 0 0) into 0 2.265 * [backup-simplify]: Simplify (- 0) into 0 2.265 * [backup-simplify]: Simplify (+ 0 0) into 0 2.266 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 2.268 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 2.270 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 2.274 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 2.280 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 2.281 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 2.281 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 2.281 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.281 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.281 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.281 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.281 * [taylor]: Taking taylor expansion of 0.5 in k 2.281 * [backup-simplify]: Simplify 0.5 into 0.5 2.281 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.281 * [taylor]: Taking taylor expansion of 1.0 in k 2.281 * [backup-simplify]: Simplify 1.0 into 1.0 2.281 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.281 * [taylor]: Taking taylor expansion of k in k 2.281 * [backup-simplify]: Simplify 0 into 0 2.281 * [backup-simplify]: Simplify 1 into 1 2.281 * [backup-simplify]: Simplify (/ 1 1) into 1 2.281 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.281 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.281 * [taylor]: Taking taylor expansion of 2.0 in k 2.282 * [backup-simplify]: Simplify 2.0 into 2.0 2.282 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.282 * [taylor]: Taking taylor expansion of PI in k 2.282 * [backup-simplify]: Simplify PI into PI 2.282 * [taylor]: Taking taylor expansion of n in k 2.282 * [backup-simplify]: Simplify n into n 2.282 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.282 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.282 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.282 * [backup-simplify]: Simplify (- 1) into -1 2.282 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.283 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.283 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.283 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 2.283 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.283 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.283 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.283 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.283 * [taylor]: Taking taylor expansion of 0.5 in n 2.283 * [backup-simplify]: Simplify 0.5 into 0.5 2.283 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.283 * [taylor]: Taking taylor expansion of 1.0 in n 2.283 * [backup-simplify]: Simplify 1.0 into 1.0 2.283 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.283 * [taylor]: Taking taylor expansion of k in n 2.283 * [backup-simplify]: Simplify k into k 2.283 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.283 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.283 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.283 * [taylor]: Taking taylor expansion of 2.0 in n 2.283 * [backup-simplify]: Simplify 2.0 into 2.0 2.283 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.283 * [taylor]: Taking taylor expansion of PI in n 2.283 * [backup-simplify]: Simplify PI into PI 2.283 * [taylor]: Taking taylor expansion of n in n 2.283 * [backup-simplify]: Simplify 0 into 0 2.283 * [backup-simplify]: Simplify 1 into 1 2.284 * [backup-simplify]: Simplify (/ PI 1) into PI 2.284 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.285 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.285 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.285 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.285 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.286 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.286 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.287 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.287 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.287 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.287 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.287 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.287 * [taylor]: Taking taylor expansion of 0.5 in n 2.287 * [backup-simplify]: Simplify 0.5 into 0.5 2.287 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.287 * [taylor]: Taking taylor expansion of 1.0 in n 2.287 * [backup-simplify]: Simplify 1.0 into 1.0 2.287 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.287 * [taylor]: Taking taylor expansion of k in n 2.287 * [backup-simplify]: Simplify k into k 2.287 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.287 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.287 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.288 * [taylor]: Taking taylor expansion of 2.0 in n 2.288 * [backup-simplify]: Simplify 2.0 into 2.0 2.288 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.288 * [taylor]: Taking taylor expansion of PI in n 2.288 * [backup-simplify]: Simplify PI into PI 2.288 * [taylor]: Taking taylor expansion of n in n 2.288 * [backup-simplify]: Simplify 0 into 0 2.288 * [backup-simplify]: Simplify 1 into 1 2.288 * [backup-simplify]: Simplify (/ PI 1) into PI 2.288 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.289 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.289 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.289 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.289 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.290 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.291 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.292 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.292 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 2.292 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 2.292 * [taylor]: Taking taylor expansion of 0.5 in k 2.292 * [backup-simplify]: Simplify 0.5 into 0.5 2.292 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 2.292 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.292 * [taylor]: Taking taylor expansion of 1.0 in k 2.292 * [backup-simplify]: Simplify 1.0 into 1.0 2.292 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.292 * [taylor]: Taking taylor expansion of k in k 2.292 * [backup-simplify]: Simplify 0 into 0 2.292 * [backup-simplify]: Simplify 1 into 1 2.292 * [backup-simplify]: Simplify (/ 1 1) into 1 2.292 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 2.292 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 2.292 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 2.292 * [taylor]: Taking taylor expansion of 2.0 in k 2.292 * [backup-simplify]: Simplify 2.0 into 2.0 2.292 * [taylor]: Taking taylor expansion of PI in k 2.292 * [backup-simplify]: Simplify PI into PI 2.293 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.294 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.294 * [taylor]: Taking taylor expansion of (log n) in k 2.294 * [taylor]: Taking taylor expansion of n in k 2.294 * [backup-simplify]: Simplify n into n 2.294 * [backup-simplify]: Simplify (log n) into (log n) 2.294 * [backup-simplify]: Simplify (- 1) into -1 2.295 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.295 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.296 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 2.297 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 2.298 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 2.299 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.301 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.301 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.302 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.303 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.303 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.303 * [backup-simplify]: Simplify (- 0) into 0 2.303 * [backup-simplify]: Simplify (+ 0 0) into 0 2.304 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 2.305 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.305 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.307 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.307 * [taylor]: Taking taylor expansion of 0 in k 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify 0 into 0 2.307 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.308 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.310 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 2.310 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.313 * [backup-simplify]: Simplify (- 0) into 0 2.313 * [backup-simplify]: Simplify (+ 0 0) into 0 2.314 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 2.315 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.316 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 2.317 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.317 * [taylor]: Taking taylor expansion of 0 in k 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.317 * [backup-simplify]: Simplify 0 into 0 2.318 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.319 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.322 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 2.322 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.322 * [backup-simplify]: Simplify (- 0) into 0 2.323 * [backup-simplify]: Simplify (+ 0 0) into 0 2.323 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 2.324 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.325 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 2.327 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.327 * [taylor]: Taking taylor expansion of 0 in k 2.327 * [backup-simplify]: Simplify 0 into 0 2.327 * [backup-simplify]: Simplify 0 into 0 2.328 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 2.328 * [backup-simplify]: Simplify (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 2.328 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 2.328 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.328 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.328 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.329 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.329 * [taylor]: Taking taylor expansion of 0.5 in k 2.329 * [backup-simplify]: Simplify 0.5 into 0.5 2.329 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.329 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.329 * [taylor]: Taking taylor expansion of k in k 2.329 * [backup-simplify]: Simplify 0 into 0 2.329 * [backup-simplify]: Simplify 1 into 1 2.329 * [backup-simplify]: Simplify (/ 1 1) into 1 2.329 * [taylor]: Taking taylor expansion of 1.0 in k 2.329 * [backup-simplify]: Simplify 1.0 into 1.0 2.329 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.329 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.329 * [taylor]: Taking taylor expansion of -2.0 in k 2.329 * [backup-simplify]: Simplify -2.0 into -2.0 2.329 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.329 * [taylor]: Taking taylor expansion of PI in k 2.329 * [backup-simplify]: Simplify PI into PI 2.329 * [taylor]: Taking taylor expansion of n in k 2.329 * [backup-simplify]: Simplify n into n 2.329 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.330 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.330 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.330 * [backup-simplify]: Simplify (+ 1 0) into 1 2.331 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.331 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.331 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 2.331 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.331 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.331 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.331 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.331 * [taylor]: Taking taylor expansion of 0.5 in n 2.331 * [backup-simplify]: Simplify 0.5 into 0.5 2.331 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.331 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.331 * [taylor]: Taking taylor expansion of k in n 2.331 * [backup-simplify]: Simplify k into k 2.331 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.331 * [taylor]: Taking taylor expansion of 1.0 in n 2.331 * [backup-simplify]: Simplify 1.0 into 1.0 2.331 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.331 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.331 * [taylor]: Taking taylor expansion of -2.0 in n 2.331 * [backup-simplify]: Simplify -2.0 into -2.0 2.331 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.331 * [taylor]: Taking taylor expansion of PI in n 2.332 * [backup-simplify]: Simplify PI into PI 2.332 * [taylor]: Taking taylor expansion of n in n 2.332 * [backup-simplify]: Simplify 0 into 0 2.332 * [backup-simplify]: Simplify 1 into 1 2.332 * [backup-simplify]: Simplify (/ PI 1) into PI 2.333 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.334 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.334 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.334 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.335 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.336 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 2.338 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.338 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.338 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.338 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.338 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.338 * [taylor]: Taking taylor expansion of 0.5 in n 2.338 * [backup-simplify]: Simplify 0.5 into 0.5 2.338 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.338 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.338 * [taylor]: Taking taylor expansion of k in n 2.338 * [backup-simplify]: Simplify k into k 2.338 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.338 * [taylor]: Taking taylor expansion of 1.0 in n 2.338 * [backup-simplify]: Simplify 1.0 into 1.0 2.338 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.338 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.338 * [taylor]: Taking taylor expansion of -2.0 in n 2.338 * [backup-simplify]: Simplify -2.0 into -2.0 2.338 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.338 * [taylor]: Taking taylor expansion of PI in n 2.338 * [backup-simplify]: Simplify PI into PI 2.338 * [taylor]: Taking taylor expansion of n in n 2.338 * [backup-simplify]: Simplify 0 into 0 2.339 * [backup-simplify]: Simplify 1 into 1 2.339 * [backup-simplify]: Simplify (/ PI 1) into PI 2.340 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.341 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.341 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.341 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.342 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.344 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 2.345 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.345 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 2.345 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 2.345 * [taylor]: Taking taylor expansion of 0.5 in k 2.345 * [backup-simplify]: Simplify 0.5 into 0.5 2.345 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 2.345 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 2.345 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 2.345 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 2.345 * [taylor]: Taking taylor expansion of -2.0 in k 2.345 * [backup-simplify]: Simplify -2.0 into -2.0 2.345 * [taylor]: Taking taylor expansion of PI in k 2.345 * [backup-simplify]: Simplify PI into PI 2.346 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.347 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.347 * [taylor]: Taking taylor expansion of (log n) in k 2.347 * [taylor]: Taking taylor expansion of n in k 2.347 * [backup-simplify]: Simplify n into n 2.347 * [backup-simplify]: Simplify (log n) into (log n) 2.347 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.347 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.347 * [taylor]: Taking taylor expansion of k in k 2.347 * [backup-simplify]: Simplify 0 into 0 2.347 * [backup-simplify]: Simplify 1 into 1 2.348 * [backup-simplify]: Simplify (/ 1 1) into 1 2.348 * [taylor]: Taking taylor expansion of 1.0 in k 2.348 * [backup-simplify]: Simplify 1.0 into 1.0 2.348 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 2.349 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 2.349 * [backup-simplify]: Simplify (+ 1 0) into 1 2.351 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 2.352 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 2.353 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.354 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.355 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.356 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.358 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.358 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.359 * [backup-simplify]: Simplify (+ 0 0) into 0 2.359 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.361 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.362 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 2.364 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.364 * [taylor]: Taking taylor expansion of 0 in k 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.364 * [backup-simplify]: Simplify 0 into 0 2.365 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.366 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.370 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 2.370 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.371 * [backup-simplify]: Simplify (+ 0 0) into 0 2.372 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 2.373 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.375 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 2.378 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 2.378 * [taylor]: Taking taylor expansion of 0 in k 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.378 * [backup-simplify]: Simplify 0 into 0 2.379 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.380 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.386 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 2.386 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 2.387 * [backup-simplify]: Simplify (+ 0 0) into 0 2.388 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 2.389 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.392 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 2.395 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 2.395 * [taylor]: Taking taylor expansion of 0 in k 2.395 * [backup-simplify]: Simplify 0 into 0 2.395 * [backup-simplify]: Simplify 0 into 0 2.396 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 2.396 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1) 2.397 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.397 * [approximate]: Taking taylor expansion of (* 2.0 (* n PI)) in (n) around 0 2.397 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.397 * [taylor]: Taking taylor expansion of 2.0 in n 2.397 * [backup-simplify]: Simplify 2.0 into 2.0 2.397 * [taylor]: Taking taylor expansion of (* n PI) in n 2.397 * [taylor]: Taking taylor expansion of n in n 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 1 into 1 2.397 * [taylor]: Taking taylor expansion of PI in n 2.397 * [backup-simplify]: Simplify PI into PI 2.397 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.397 * [taylor]: Taking taylor expansion of 2.0 in n 2.397 * [backup-simplify]: Simplify 2.0 into 2.0 2.397 * [taylor]: Taking taylor expansion of (* n PI) in n 2.397 * [taylor]: Taking taylor expansion of n in n 2.397 * [backup-simplify]: Simplify 0 into 0 2.397 * [backup-simplify]: Simplify 1 into 1 2.397 * [taylor]: Taking taylor expansion of PI in n 2.397 * [backup-simplify]: Simplify PI into PI 2.398 * [backup-simplify]: Simplify (* 0 PI) into 0 2.398 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.398 * [backup-simplify]: Simplify 0 into 0 2.400 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.401 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.402 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.403 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 2.404 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 2.404 * [backup-simplify]: Simplify 0 into 0 2.406 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 2.407 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 2.407 * [backup-simplify]: Simplify 0 into 0 2.408 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.410 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))) into 0 2.410 * [backup-simplify]: Simplify 0 into 0 2.411 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.413 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))) into 0 2.413 * [backup-simplify]: Simplify 0 into 0 2.415 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.416 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0))))))) into 0 2.417 * [backup-simplify]: Simplify 0 into 0 2.418 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 2.420 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))))))) into 0 2.421 * [backup-simplify]: Simplify 0 into 0 2.421 * [backup-simplify]: Simplify (* (* 2.0 PI) n) into (* 2.0 (* n PI)) 2.422 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 n)) into (* 2.0 (/ PI n)) 2.422 * [approximate]: Taking taylor expansion of (* 2.0 (/ PI n)) in (n) around 0 2.422 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.422 * [taylor]: Taking taylor expansion of 2.0 in n 2.422 * [backup-simplify]: Simplify 2.0 into 2.0 2.422 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.422 * [taylor]: Taking taylor expansion of PI in n 2.422 * [backup-simplify]: Simplify PI into PI 2.422 * [taylor]: Taking taylor expansion of n in n 2.422 * [backup-simplify]: Simplify 0 into 0 2.422 * [backup-simplify]: Simplify 1 into 1 2.423 * [backup-simplify]: Simplify (/ PI 1) into PI 2.423 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.423 * [taylor]: Taking taylor expansion of 2.0 in n 2.423 * [backup-simplify]: Simplify 2.0 into 2.0 2.423 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.423 * [taylor]: Taking taylor expansion of PI in n 2.423 * [backup-simplify]: Simplify PI into PI 2.423 * [taylor]: Taking taylor expansion of n in n 2.423 * [backup-simplify]: Simplify 0 into 0 2.423 * [backup-simplify]: Simplify 1 into 1 2.424 * [backup-simplify]: Simplify (/ PI 1) into PI 2.424 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.425 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.426 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.426 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.426 * [backup-simplify]: Simplify 0 into 0 2.427 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.429 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.429 * [backup-simplify]: Simplify 0 into 0 2.430 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.431 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.431 * [backup-simplify]: Simplify 0 into 0 2.432 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.434 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.434 * [backup-simplify]: Simplify 0 into 0 2.435 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.436 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.436 * [backup-simplify]: Simplify 0 into 0 2.438 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.439 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.440 * [backup-simplify]: Simplify 0 into 0 2.440 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (/ 1 n))) into (* 2.0 (* n PI)) 2.441 * [backup-simplify]: Simplify (* (* 2.0 PI) (/ 1 (- n))) into (* -2.0 (/ PI n)) 2.441 * [approximate]: Taking taylor expansion of (* -2.0 (/ PI n)) in (n) around 0 2.441 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.441 * [taylor]: Taking taylor expansion of -2.0 in n 2.441 * [backup-simplify]: Simplify -2.0 into -2.0 2.441 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.441 * [taylor]: Taking taylor expansion of PI in n 2.441 * [backup-simplify]: Simplify PI into PI 2.441 * [taylor]: Taking taylor expansion of n in n 2.441 * [backup-simplify]: Simplify 0 into 0 2.441 * [backup-simplify]: Simplify 1 into 1 2.442 * [backup-simplify]: Simplify (/ PI 1) into PI 2.442 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.442 * [taylor]: Taking taylor expansion of -2.0 in n 2.442 * [backup-simplify]: Simplify -2.0 into -2.0 2.442 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.442 * [taylor]: Taking taylor expansion of PI in n 2.442 * [backup-simplify]: Simplify PI into PI 2.442 * [taylor]: Taking taylor expansion of n in n 2.442 * [backup-simplify]: Simplify 0 into 0 2.442 * [backup-simplify]: Simplify 1 into 1 2.442 * [backup-simplify]: Simplify (/ PI 1) into PI 2.443 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.443 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.444 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.445 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.445 * [backup-simplify]: Simplify 0 into 0 2.446 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.447 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 2.447 * [backup-simplify]: Simplify 0 into 0 2.448 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.450 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.450 * [backup-simplify]: Simplify 0 into 0 2.451 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.453 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 2.453 * [backup-simplify]: Simplify 0 into 0 2.457 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.458 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 2.458 * [backup-simplify]: Simplify 0 into 0 2.458 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.459 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 2.459 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify (* (* -2.0 PI) (/ 1 (/ 1 (- n)))) into (* 2.0 (* n PI)) 2.460 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 2.460 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 2.460 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 2.460 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.460 * [taylor]: Taking taylor expansion of 1.0 in k 2.460 * [backup-simplify]: Simplify 1.0 into 1.0 2.460 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.460 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.460 * [taylor]: Taking taylor expansion of k in k 2.460 * [backup-simplify]: Simplify 0 into 0 2.460 * [backup-simplify]: Simplify 1 into 1 2.460 * [backup-simplify]: Simplify (/ 1 1) into 1 2.461 * [backup-simplify]: Simplify (sqrt 0) into 0 2.462 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.462 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 2.462 * [taylor]: Taking taylor expansion of 1.0 in k 2.462 * [backup-simplify]: Simplify 1.0 into 1.0 2.462 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.462 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.462 * [taylor]: Taking taylor expansion of k in k 2.462 * [backup-simplify]: Simplify 0 into 0 2.462 * [backup-simplify]: Simplify 1 into 1 2.462 * [backup-simplify]: Simplify (/ 1 1) into 1 2.462 * [backup-simplify]: Simplify (sqrt 0) into 0 2.463 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.463 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.463 * [backup-simplify]: Simplify 0 into 0 2.464 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.464 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.465 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.467 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.468 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.468 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.468 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.471 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.472 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.472 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.473 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 2.474 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 2.474 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 2.474 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.474 * [taylor]: Taking taylor expansion of 1.0 in k 2.474 * [backup-simplify]: Simplify 1.0 into 1.0 2.474 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.474 * [taylor]: Taking taylor expansion of k in k 2.474 * [backup-simplify]: Simplify 0 into 0 2.474 * [backup-simplify]: Simplify 1 into 1 2.474 * [backup-simplify]: Simplify (sqrt 0) into 0 2.475 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.475 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 2.475 * [taylor]: Taking taylor expansion of 1.0 in k 2.475 * [backup-simplify]: Simplify 1.0 into 1.0 2.475 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.475 * [taylor]: Taking taylor expansion of k in k 2.475 * [backup-simplify]: Simplify 0 into 0 2.475 * [backup-simplify]: Simplify 1 into 1 2.475 * [backup-simplify]: Simplify (sqrt 0) into 0 2.476 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.476 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.476 * [backup-simplify]: Simplify 0 into 0 2.477 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 2.477 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.479 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.480 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 2.480 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.483 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.484 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 2.484 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.485 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 2.486 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 2.486 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 2.486 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.486 * [taylor]: Taking taylor expansion of 1.0 in k 2.486 * [backup-simplify]: Simplify 1.0 into 1.0 2.486 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.486 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.486 * [taylor]: Taking taylor expansion of -1 in k 2.486 * [backup-simplify]: Simplify -1 into -1 2.486 * [taylor]: Taking taylor expansion of k in k 2.486 * [backup-simplify]: Simplify 0 into 0 2.486 * [backup-simplify]: Simplify 1 into 1 2.486 * [backup-simplify]: Simplify (/ -1 1) into -1 2.486 * [backup-simplify]: Simplify (sqrt 0) into 0 2.487 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.487 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.487 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 2.487 * [taylor]: Taking taylor expansion of 1.0 in k 2.487 * [backup-simplify]: Simplify 1.0 into 1.0 2.487 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.487 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.487 * [taylor]: Taking taylor expansion of -1 in k 2.487 * [backup-simplify]: Simplify -1 into -1 2.487 * [taylor]: Taking taylor expansion of k in k 2.487 * [backup-simplify]: Simplify 0 into 0 2.487 * [backup-simplify]: Simplify 1 into 1 2.488 * [backup-simplify]: Simplify (/ -1 1) into -1 2.488 * [backup-simplify]: Simplify (sqrt 0) into 0 2.489 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.489 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 2.489 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.490 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.493 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.496 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 2.496 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.497 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.501 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.505 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 2.506 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 2.507 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 2.507 * * * * [progress]: [ 4 / 4 ] generating series at (2) 2.508 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 2.508 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k n) around 0 2.508 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 2.508 * [taylor]: Taking taylor expansion of 1.0 in n 2.508 * [backup-simplify]: Simplify 1.0 into 1.0 2.508 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 2.508 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 2.508 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 2.508 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 2.508 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 2.508 * [taylor]: Taking taylor expansion of 0.5 in n 2.508 * [backup-simplify]: Simplify 0.5 into 0.5 2.508 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 2.508 * [taylor]: Taking taylor expansion of 1.0 in n 2.508 * [backup-simplify]: Simplify 1.0 into 1.0 2.508 * [taylor]: Taking taylor expansion of k in n 2.508 * [backup-simplify]: Simplify k into k 2.508 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.508 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.508 * [taylor]: Taking taylor expansion of 2.0 in n 2.509 * [backup-simplify]: Simplify 2.0 into 2.0 2.509 * [taylor]: Taking taylor expansion of (* n PI) in n 2.509 * [taylor]: Taking taylor expansion of n in n 2.509 * [backup-simplify]: Simplify 0 into 0 2.509 * [backup-simplify]: Simplify 1 into 1 2.509 * [taylor]: Taking taylor expansion of PI in n 2.509 * [backup-simplify]: Simplify PI into PI 2.509 * [backup-simplify]: Simplify (* 0 PI) into 0 2.510 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.511 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.513 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.514 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.514 * [backup-simplify]: Simplify (- k) into (- k) 2.514 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 2.514 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 2.516 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.517 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 2.518 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 2.519 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 2.519 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.519 * [taylor]: Taking taylor expansion of k in n 2.519 * [backup-simplify]: Simplify k into k 2.519 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.519 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 2.519 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.519 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 2.519 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 2.519 * [taylor]: Taking taylor expansion of 1.0 in k 2.519 * [backup-simplify]: Simplify 1.0 into 1.0 2.519 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 2.519 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.519 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.519 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.519 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.519 * [taylor]: Taking taylor expansion of 0.5 in k 2.519 * [backup-simplify]: Simplify 0.5 into 0.5 2.519 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.519 * [taylor]: Taking taylor expansion of 1.0 in k 2.519 * [backup-simplify]: Simplify 1.0 into 1.0 2.519 * [taylor]: Taking taylor expansion of k in k 2.519 * [backup-simplify]: Simplify 0 into 0 2.520 * [backup-simplify]: Simplify 1 into 1 2.520 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.520 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.520 * [taylor]: Taking taylor expansion of 2.0 in k 2.520 * [backup-simplify]: Simplify 2.0 into 2.0 2.520 * [taylor]: Taking taylor expansion of (* n PI) in k 2.520 * [taylor]: Taking taylor expansion of n in k 2.520 * [backup-simplify]: Simplify n into n 2.520 * [taylor]: Taking taylor expansion of PI in k 2.520 * [backup-simplify]: Simplify PI into PI 2.520 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.520 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.520 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.520 * [backup-simplify]: Simplify (- 0) into 0 2.521 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.521 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.521 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.522 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.522 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.522 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.522 * [taylor]: Taking taylor expansion of k in k 2.522 * [backup-simplify]: Simplify 0 into 0 2.522 * [backup-simplify]: Simplify 1 into 1 2.522 * [backup-simplify]: Simplify (/ 1 1) into 1 2.523 * [backup-simplify]: Simplify (sqrt 0) into 0 2.524 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.524 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 2.524 * [taylor]: Taking taylor expansion of 1.0 in k 2.524 * [backup-simplify]: Simplify 1.0 into 1.0 2.524 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 2.524 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 2.524 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 2.524 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 2.525 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 2.525 * [taylor]: Taking taylor expansion of 0.5 in k 2.525 * [backup-simplify]: Simplify 0.5 into 0.5 2.525 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 2.525 * [taylor]: Taking taylor expansion of 1.0 in k 2.525 * [backup-simplify]: Simplify 1.0 into 1.0 2.525 * [taylor]: Taking taylor expansion of k in k 2.525 * [backup-simplify]: Simplify 0 into 0 2.525 * [backup-simplify]: Simplify 1 into 1 2.525 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 2.525 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 2.525 * [taylor]: Taking taylor expansion of 2.0 in k 2.525 * [backup-simplify]: Simplify 2.0 into 2.0 2.525 * [taylor]: Taking taylor expansion of (* n PI) in k 2.525 * [taylor]: Taking taylor expansion of n in k 2.525 * [backup-simplify]: Simplify n into n 2.525 * [taylor]: Taking taylor expansion of PI in k 2.525 * [backup-simplify]: Simplify PI into PI 2.525 * [backup-simplify]: Simplify (* n PI) into (* n PI) 2.525 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 2.525 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 2.526 * [backup-simplify]: Simplify (- 0) into 0 2.526 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 2.527 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 2.527 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 2.527 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 2.527 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 2.527 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.527 * [taylor]: Taking taylor expansion of k in k 2.527 * [backup-simplify]: Simplify 0 into 0 2.527 * [backup-simplify]: Simplify 1 into 1 2.527 * [backup-simplify]: Simplify (/ 1 1) into 1 2.528 * [backup-simplify]: Simplify (sqrt 0) into 0 2.529 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.529 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.5) 0) into 0 2.530 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.530 * [taylor]: Taking taylor expansion of 0 in n 2.530 * [backup-simplify]: Simplify 0 into 0 2.530 * [backup-simplify]: Simplify 0 into 0 2.531 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 2.531 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 2.532 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 2.532 * [backup-simplify]: Simplify (- 1) into -1 2.533 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.535 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 2.536 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 2.536 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 2.538 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.540 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.540 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.540 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.540 * [taylor]: Taking taylor expansion of +nan.0 in n 2.540 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.540 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.540 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.540 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.540 * [taylor]: Taking taylor expansion of 0.5 in n 2.540 * [backup-simplify]: Simplify 0.5 into 0.5 2.540 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.540 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.540 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.540 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.540 * [taylor]: Taking taylor expansion of 1.0 in n 2.540 * [backup-simplify]: Simplify 1.0 into 1.0 2.540 * [taylor]: Taking taylor expansion of (log PI) in n 2.540 * [taylor]: Taking taylor expansion of PI in n 2.540 * [backup-simplify]: Simplify PI into PI 2.541 * [backup-simplify]: Simplify (log PI) into (log PI) 2.542 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.543 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.543 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.544 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.544 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.544 * [taylor]: Taking taylor expansion of 1.0 in n 2.544 * [backup-simplify]: Simplify 1.0 into 1.0 2.544 * [taylor]: Taking taylor expansion of (log n) in n 2.544 * [taylor]: Taking taylor expansion of n in n 2.544 * [backup-simplify]: Simplify 0 into 0 2.544 * [backup-simplify]: Simplify 1 into 1 2.544 * [backup-simplify]: Simplify (log 1) into 0 2.545 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.545 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.545 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.545 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.545 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.545 * [taylor]: Taking taylor expansion of 1.0 in n 2.545 * [backup-simplify]: Simplify 1.0 into 1.0 2.545 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.545 * [taylor]: Taking taylor expansion of 2.0 in n 2.545 * [backup-simplify]: Simplify 2.0 into 2.0 2.546 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.546 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.548 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.549 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.550 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.551 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.553 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.554 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.556 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 2.558 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.559 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 2.559 * [backup-simplify]: Simplify 0 into 0 2.560 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 2.563 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.564 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 2.565 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 2.567 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 2.567 * [backup-simplify]: Simplify (- 0) into 0 2.568 * [backup-simplify]: Simplify (+ 0 0) into 0 2.569 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 2.570 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 2.571 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 2.575 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 2.580 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 2.581 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 2.581 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 2.581 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.581 * [taylor]: Taking taylor expansion of +nan.0 in n 2.581 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.581 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.581 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.581 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.581 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.581 * [taylor]: Taking taylor expansion of 0.5 in n 2.581 * [backup-simplify]: Simplify 0.5 into 0.5 2.581 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.581 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.581 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.581 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.581 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.581 * [taylor]: Taking taylor expansion of 1.0 in n 2.581 * [backup-simplify]: Simplify 1.0 into 1.0 2.581 * [taylor]: Taking taylor expansion of (log PI) in n 2.581 * [taylor]: Taking taylor expansion of PI in n 2.581 * [backup-simplify]: Simplify PI into PI 2.582 * [backup-simplify]: Simplify (log PI) into (log PI) 2.583 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.588 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.588 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.588 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.588 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.588 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.588 * [taylor]: Taking taylor expansion of 1.0 in n 2.588 * [backup-simplify]: Simplify 1.0 into 1.0 2.588 * [taylor]: Taking taylor expansion of (log n) in n 2.588 * [taylor]: Taking taylor expansion of n in n 2.588 * [backup-simplify]: Simplify 0 into 0 2.588 * [backup-simplify]: Simplify 1 into 1 2.589 * [backup-simplify]: Simplify (log 1) into 0 2.590 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.590 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.590 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.590 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.590 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.590 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.590 * [taylor]: Taking taylor expansion of 1.0 in n 2.590 * [backup-simplify]: Simplify 1.0 into 1.0 2.590 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.590 * [taylor]: Taking taylor expansion of 2.0 in n 2.590 * [backup-simplify]: Simplify 2.0 into 2.0 2.591 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.592 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.593 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.594 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.595 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.597 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.598 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.600 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.600 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.600 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.600 * [taylor]: Taking taylor expansion of 2.0 in n 2.600 * [backup-simplify]: Simplify 2.0 into 2.0 2.600 * [taylor]: Taking taylor expansion of (* n PI) in n 2.600 * [taylor]: Taking taylor expansion of n in n 2.600 * [backup-simplify]: Simplify 0 into 0 2.600 * [backup-simplify]: Simplify 1 into 1 2.600 * [taylor]: Taking taylor expansion of PI in n 2.600 * [backup-simplify]: Simplify PI into PI 2.600 * [backup-simplify]: Simplify (* 0 PI) into 0 2.601 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.602 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.604 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.605 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.605 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 2.605 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 2.605 * [taylor]: Taking taylor expansion of +nan.0 in n 2.605 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.605 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.605 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.605 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.605 * [taylor]: Taking taylor expansion of 0.5 in n 2.605 * [backup-simplify]: Simplify 0.5 into 0.5 2.605 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.606 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.606 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.606 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.606 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.606 * [taylor]: Taking taylor expansion of 1.0 in n 2.606 * [backup-simplify]: Simplify 1.0 into 1.0 2.606 * [taylor]: Taking taylor expansion of (log PI) in n 2.606 * [taylor]: Taking taylor expansion of PI in n 2.606 * [backup-simplify]: Simplify PI into PI 2.606 * [backup-simplify]: Simplify (log PI) into (log PI) 2.607 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.609 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.609 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.609 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.609 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.609 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.609 * [taylor]: Taking taylor expansion of 1.0 in n 2.609 * [backup-simplify]: Simplify 1.0 into 1.0 2.609 * [taylor]: Taking taylor expansion of (log n) in n 2.609 * [taylor]: Taking taylor expansion of n in n 2.609 * [backup-simplify]: Simplify 0 into 0 2.609 * [backup-simplify]: Simplify 1 into 1 2.610 * [backup-simplify]: Simplify (log 1) into 0 2.610 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.610 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.610 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.611 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.611 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.611 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.611 * [taylor]: Taking taylor expansion of 1.0 in n 2.611 * [backup-simplify]: Simplify 1.0 into 1.0 2.611 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.611 * [taylor]: Taking taylor expansion of 2.0 in n 2.611 * [backup-simplify]: Simplify 2.0 into 2.0 2.611 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.612 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.614 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.615 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.616 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.618 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.619 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.621 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.622 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.625 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 2.628 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 2.629 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 2.631 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 2.635 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 2.641 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) 2.647 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 2.649 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 2.650 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 2.651 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 2.653 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 2.653 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.654 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 2.655 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 2.655 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 2.657 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 2.658 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 2.659 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 2.661 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 2.663 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 2.665 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 2.667 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.669 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 2.669 * [backup-simplify]: Simplify (- 0) into 0 2.669 * [backup-simplify]: Simplify 0 into 0 2.670 * [backup-simplify]: Simplify 0 into 0 2.671 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.675 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.676 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 2.677 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 2.680 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 2.681 * [backup-simplify]: Simplify (- 0) into 0 2.681 * [backup-simplify]: Simplify (+ 0 0) into 0 2.682 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 2.684 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 2.686 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 2.692 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (+ (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.703 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 2.703 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 2.703 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 2.703 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 2.703 * [taylor]: Taking taylor expansion of +nan.0 in n 2.703 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.703 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 2.704 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.704 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.704 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.704 * [taylor]: Taking taylor expansion of 0.5 in n 2.704 * [backup-simplify]: Simplify 0.5 into 0.5 2.704 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.704 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.704 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.704 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.704 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.704 * [taylor]: Taking taylor expansion of 1.0 in n 2.704 * [backup-simplify]: Simplify 1.0 into 1.0 2.704 * [taylor]: Taking taylor expansion of (log PI) in n 2.704 * [taylor]: Taking taylor expansion of PI in n 2.704 * [backup-simplify]: Simplify PI into PI 2.704 * [backup-simplify]: Simplify (log PI) into (log PI) 2.706 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.707 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.707 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.707 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.707 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.707 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.707 * [taylor]: Taking taylor expansion of 1.0 in n 2.708 * [backup-simplify]: Simplify 1.0 into 1.0 2.708 * [taylor]: Taking taylor expansion of (log n) in n 2.708 * [taylor]: Taking taylor expansion of n in n 2.708 * [backup-simplify]: Simplify 0 into 0 2.708 * [backup-simplify]: Simplify 1 into 1 2.708 * [backup-simplify]: Simplify (log 1) into 0 2.708 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.709 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.709 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.709 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.709 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.709 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.709 * [taylor]: Taking taylor expansion of 1.0 in n 2.709 * [backup-simplify]: Simplify 1.0 into 1.0 2.709 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.709 * [taylor]: Taking taylor expansion of 2.0 in n 2.709 * [backup-simplify]: Simplify 2.0 into 2.0 2.709 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.710 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.712 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.712 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.714 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.715 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.717 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.718 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.718 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.718 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.718 * [taylor]: Taking taylor expansion of 2.0 in n 2.718 * [backup-simplify]: Simplify 2.0 into 2.0 2.718 * [taylor]: Taking taylor expansion of (* n PI) in n 2.718 * [taylor]: Taking taylor expansion of n in n 2.718 * [backup-simplify]: Simplify 0 into 0 2.718 * [backup-simplify]: Simplify 1 into 1 2.718 * [taylor]: Taking taylor expansion of PI in n 2.718 * [backup-simplify]: Simplify PI into PI 2.719 * [backup-simplify]: Simplify (* 0 PI) into 0 2.719 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.721 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.723 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.724 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.724 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 2.725 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 2.725 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 2.725 * [taylor]: Taking taylor expansion of +nan.0 in n 2.725 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.725 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 2.725 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 2.725 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 2.725 * [taylor]: Taking taylor expansion of 0.5 in n 2.725 * [backup-simplify]: Simplify 0.5 into 0.5 2.725 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 2.725 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 2.725 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.725 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.725 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.725 * [taylor]: Taking taylor expansion of 1.0 in n 2.725 * [backup-simplify]: Simplify 1.0 into 1.0 2.725 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.725 * [taylor]: Taking taylor expansion of 2.0 in n 2.725 * [backup-simplify]: Simplify 2.0 into 2.0 2.726 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.727 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.728 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.728 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 2.728 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.728 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.728 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.728 * [taylor]: Taking taylor expansion of 1.0 in n 2.728 * [backup-simplify]: Simplify 1.0 into 1.0 2.728 * [taylor]: Taking taylor expansion of (log n) in n 2.728 * [taylor]: Taking taylor expansion of n in n 2.728 * [backup-simplify]: Simplify 0 into 0 2.728 * [backup-simplify]: Simplify 1 into 1 2.729 * [backup-simplify]: Simplify (log 1) into 0 2.729 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.729 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.730 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.730 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.730 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.730 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.730 * [taylor]: Taking taylor expansion of 1.0 in n 2.730 * [backup-simplify]: Simplify 1.0 into 1.0 2.730 * [taylor]: Taking taylor expansion of (log PI) in n 2.730 * [taylor]: Taking taylor expansion of PI in n 2.730 * [backup-simplify]: Simplify PI into PI 2.730 * [backup-simplify]: Simplify (log PI) into (log PI) 2.731 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.733 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.734 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 2.735 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 2.737 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 2.738 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 2.740 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.740 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 2.740 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 2.740 * [taylor]: Taking taylor expansion of +nan.0 in n 2.740 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.740 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 2.740 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 2.740 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 2.740 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 2.740 * [taylor]: Taking taylor expansion of 0.5 in n 2.740 * [backup-simplify]: Simplify 0.5 into 0.5 2.740 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 2.740 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 2.740 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 2.740 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 2.740 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 2.740 * [taylor]: Taking taylor expansion of 1.0 in n 2.740 * [backup-simplify]: Simplify 1.0 into 1.0 2.740 * [taylor]: Taking taylor expansion of (log PI) in n 2.740 * [taylor]: Taking taylor expansion of PI in n 2.740 * [backup-simplify]: Simplify PI into PI 2.741 * [backup-simplify]: Simplify (log PI) into (log PI) 2.742 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 2.744 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 2.744 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 2.744 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 2.744 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 2.744 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 2.744 * [taylor]: Taking taylor expansion of 1.0 in n 2.744 * [backup-simplify]: Simplify 1.0 into 1.0 2.744 * [taylor]: Taking taylor expansion of (log n) in n 2.744 * [taylor]: Taking taylor expansion of n in n 2.744 * [backup-simplify]: Simplify 0 into 0 2.744 * [backup-simplify]: Simplify 1 into 1 2.748 * [backup-simplify]: Simplify (log 1) into 0 2.749 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 2.749 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 2.749 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 2.749 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 2.749 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 2.749 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 2.749 * [taylor]: Taking taylor expansion of 1.0 in n 2.749 * [backup-simplify]: Simplify 1.0 into 1.0 2.749 * [taylor]: Taking taylor expansion of (log 2.0) in n 2.749 * [taylor]: Taking taylor expansion of 2.0 in n 2.749 * [backup-simplify]: Simplify 2.0 into 2.0 2.750 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 2.751 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 2.752 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 2.753 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 2.754 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 2.756 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 2.757 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 2.758 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 2.758 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 2.758 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 2.759 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 2.759 * [taylor]: Taking taylor expansion of 2.0 in n 2.759 * [backup-simplify]: Simplify 2.0 into 2.0 2.759 * [taylor]: Taking taylor expansion of (* n PI) in n 2.759 * [taylor]: Taking taylor expansion of n in n 2.759 * [backup-simplify]: Simplify 0 into 0 2.759 * [backup-simplify]: Simplify 1 into 1 2.759 * [taylor]: Taking taylor expansion of PI in n 2.759 * [backup-simplify]: Simplify PI into PI 2.759 * [backup-simplify]: Simplify (* 0 PI) into 0 2.760 * [backup-simplify]: Simplify (* 2.0 0) into 0 2.761 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 2.763 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 2.764 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.765 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.767 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.769 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 2.772 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 2.774 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 2.775 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.777 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 2.779 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 2.782 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) 2.785 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) 2.788 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))))) 2.799 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) 2.811 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))))))) 2.825 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 2.843 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 2.860 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) 2.881 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) 2.881 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* (* 2.0 PI) (/ 1 n)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) 2.881 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k n) around 0 2.881 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in n 2.881 * [taylor]: Taking taylor expansion of 1.0 in n 2.881 * [backup-simplify]: Simplify 1.0 into 1.0 2.881 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in n 2.881 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 2.881 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 2.881 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 2.881 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 2.881 * [taylor]: Taking taylor expansion of 0.5 in n 2.881 * [backup-simplify]: Simplify 0.5 into 0.5 2.881 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.882 * [taylor]: Taking taylor expansion of 1.0 in n 2.882 * [backup-simplify]: Simplify 1.0 into 1.0 2.882 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.882 * [taylor]: Taking taylor expansion of k in n 2.882 * [backup-simplify]: Simplify k into k 2.882 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.882 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.882 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.882 * [taylor]: Taking taylor expansion of 2.0 in n 2.882 * [backup-simplify]: Simplify 2.0 into 2.0 2.882 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.882 * [taylor]: Taking taylor expansion of PI in n 2.882 * [backup-simplify]: Simplify PI into PI 2.882 * [taylor]: Taking taylor expansion of n in n 2.882 * [backup-simplify]: Simplify 0 into 0 2.882 * [backup-simplify]: Simplify 1 into 1 2.882 * [backup-simplify]: Simplify (/ PI 1) into PI 2.882 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.883 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.883 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.883 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.883 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 2.884 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.885 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.886 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.886 * [taylor]: Taking taylor expansion of (sqrt k) in n 2.886 * [taylor]: Taking taylor expansion of k in n 2.886 * [backup-simplify]: Simplify k into k 2.886 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 2.886 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 2.886 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 2.886 * [taylor]: Taking taylor expansion of 1.0 in k 2.886 * [backup-simplify]: Simplify 1.0 into 1.0 2.886 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 2.886 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.886 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.886 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.886 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.886 * [taylor]: Taking taylor expansion of 0.5 in k 2.886 * [backup-simplify]: Simplify 0.5 into 0.5 2.886 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.886 * [taylor]: Taking taylor expansion of 1.0 in k 2.886 * [backup-simplify]: Simplify 1.0 into 1.0 2.886 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.886 * [taylor]: Taking taylor expansion of k in k 2.886 * [backup-simplify]: Simplify 0 into 0 2.886 * [backup-simplify]: Simplify 1 into 1 2.886 * [backup-simplify]: Simplify (/ 1 1) into 1 2.886 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.886 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.886 * [taylor]: Taking taylor expansion of 2.0 in k 2.886 * [backup-simplify]: Simplify 2.0 into 2.0 2.886 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.886 * [taylor]: Taking taylor expansion of PI in k 2.886 * [backup-simplify]: Simplify PI into PI 2.886 * [taylor]: Taking taylor expansion of n in k 2.886 * [backup-simplify]: Simplify n into n 2.886 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.887 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.887 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.887 * [backup-simplify]: Simplify (- 1) into -1 2.887 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.887 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.887 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.888 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 2.888 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.888 * [taylor]: Taking taylor expansion of k in k 2.888 * [backup-simplify]: Simplify 0 into 0 2.888 * [backup-simplify]: Simplify 1 into 1 2.890 * [backup-simplify]: Simplify (sqrt 0) into 0 2.891 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.891 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 2.892 * [taylor]: Taking taylor expansion of 1.0 in k 2.892 * [backup-simplify]: Simplify 1.0 into 1.0 2.892 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 2.892 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 2.892 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 2.892 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 2.892 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 2.892 * [taylor]: Taking taylor expansion of 0.5 in k 2.892 * [backup-simplify]: Simplify 0.5 into 0.5 2.892 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 2.892 * [taylor]: Taking taylor expansion of 1.0 in k 2.892 * [backup-simplify]: Simplify 1.0 into 1.0 2.892 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.892 * [taylor]: Taking taylor expansion of k in k 2.892 * [backup-simplify]: Simplify 0 into 0 2.892 * [backup-simplify]: Simplify 1 into 1 2.892 * [backup-simplify]: Simplify (/ 1 1) into 1 2.892 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 2.892 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 2.892 * [taylor]: Taking taylor expansion of 2.0 in k 2.892 * [backup-simplify]: Simplify 2.0 into 2.0 2.892 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.892 * [taylor]: Taking taylor expansion of PI in k 2.892 * [backup-simplify]: Simplify PI into PI 2.892 * [taylor]: Taking taylor expansion of n in k 2.892 * [backup-simplify]: Simplify n into n 2.892 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.892 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 2.892 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 2.893 * [backup-simplify]: Simplify (- 1) into -1 2.893 * [backup-simplify]: Simplify (+ 0 -1) into -1 2.893 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 2.893 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 2.893 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 2.893 * [taylor]: Taking taylor expansion of (sqrt k) in k 2.893 * [taylor]: Taking taylor expansion of k in k 2.893 * [backup-simplify]: Simplify 0 into 0 2.893 * [backup-simplify]: Simplify 1 into 1 2.894 * [backup-simplify]: Simplify (sqrt 0) into 0 2.894 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 2.895 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 0) into 0 2.895 * [backup-simplify]: Simplify (* 1.0 0) into 0 2.895 * [taylor]: Taking taylor expansion of 0 in n 2.895 * [backup-simplify]: Simplify 0 into 0 2.895 * [backup-simplify]: Simplify 0 into 0 2.896 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.896 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.896 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 2.896 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 2.896 * [taylor]: Taking taylor expansion of +nan.0 in n 2.896 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.896 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 2.896 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 2.896 * [taylor]: Taking taylor expansion of 0.5 in n 2.896 * [backup-simplify]: Simplify 0.5 into 0.5 2.896 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 2.896 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.896 * [taylor]: Taking taylor expansion of 1.0 in n 2.896 * [backup-simplify]: Simplify 1.0 into 1.0 2.896 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.896 * [taylor]: Taking taylor expansion of k in n 2.896 * [backup-simplify]: Simplify k into k 2.896 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.897 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.897 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.897 * [taylor]: Taking taylor expansion of 2.0 in n 2.897 * [backup-simplify]: Simplify 2.0 into 2.0 2.897 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.897 * [taylor]: Taking taylor expansion of PI in n 2.897 * [backup-simplify]: Simplify PI into PI 2.897 * [taylor]: Taking taylor expansion of n in n 2.897 * [backup-simplify]: Simplify 0 into 0 2.897 * [backup-simplify]: Simplify 1 into 1 2.897 * [backup-simplify]: Simplify (/ PI 1) into PI 2.897 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.898 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.898 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.898 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.899 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.900 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 2.901 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.902 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.903 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 2.905 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.906 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.906 * [backup-simplify]: Simplify 0 into 0 2.909 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.910 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.912 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.912 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 2.912 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 2.912 * [taylor]: Taking taylor expansion of +nan.0 in n 2.912 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.912 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 2.912 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 2.912 * [taylor]: Taking taylor expansion of 0.5 in n 2.912 * [backup-simplify]: Simplify 0.5 into 0.5 2.912 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 2.912 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.912 * [taylor]: Taking taylor expansion of 1.0 in n 2.912 * [backup-simplify]: Simplify 1.0 into 1.0 2.912 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.912 * [taylor]: Taking taylor expansion of k in n 2.912 * [backup-simplify]: Simplify k into k 2.912 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.912 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.912 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.912 * [taylor]: Taking taylor expansion of 2.0 in n 2.912 * [backup-simplify]: Simplify 2.0 into 2.0 2.912 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.912 * [taylor]: Taking taylor expansion of PI in n 2.912 * [backup-simplify]: Simplify PI into PI 2.912 * [taylor]: Taking taylor expansion of n in n 2.912 * [backup-simplify]: Simplify 0 into 0 2.912 * [backup-simplify]: Simplify 1 into 1 2.913 * [backup-simplify]: Simplify (/ PI 1) into PI 2.914 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.915 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.915 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.915 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.916 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.918 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 2.919 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.920 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.922 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 2.923 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.925 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.926 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.927 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 2.929 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 2.929 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.929 * [backup-simplify]: Simplify (- 0) into 0 2.930 * [backup-simplify]: Simplify (+ 0 0) into 0 2.931 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.932 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 2.934 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into 0 2.936 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 2.937 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into 0 2.938 * [backup-simplify]: Simplify (- 0) into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.938 * [backup-simplify]: Simplify 0 into 0 2.940 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.941 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.941 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 2.941 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 2.942 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 2.942 * [taylor]: Taking taylor expansion of +nan.0 in n 2.942 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.942 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 2.942 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 2.942 * [taylor]: Taking taylor expansion of 0.5 in n 2.942 * [backup-simplify]: Simplify 0.5 into 0.5 2.942 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 2.942 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 2.942 * [taylor]: Taking taylor expansion of 1.0 in n 2.942 * [backup-simplify]: Simplify 1.0 into 1.0 2.942 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.942 * [taylor]: Taking taylor expansion of k in n 2.942 * [backup-simplify]: Simplify k into k 2.942 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.942 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 2.942 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 2.942 * [taylor]: Taking taylor expansion of 2.0 in n 2.942 * [backup-simplify]: Simplify 2.0 into 2.0 2.942 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.942 * [taylor]: Taking taylor expansion of PI in n 2.942 * [backup-simplify]: Simplify PI into PI 2.942 * [taylor]: Taking taylor expansion of n in n 2.942 * [backup-simplify]: Simplify 0 into 0 2.942 * [backup-simplify]: Simplify 1 into 1 2.942 * [backup-simplify]: Simplify (/ PI 1) into PI 2.943 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 2.943 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 2.943 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 2.943 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 2.944 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 2.945 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 2.946 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 2.947 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 2.948 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 2.948 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.949 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 2.952 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 2.952 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* (* 2.0 PI) (/ 1 (- n))) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 2.953 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 2.953 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 2.953 * [taylor]: Taking taylor expansion of 1.0 in n 2.953 * [backup-simplify]: Simplify 1.0 into 1.0 2.953 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 2.953 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 2.953 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 2.953 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 2.953 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 2.953 * [taylor]: Taking taylor expansion of 0.5 in n 2.953 * [backup-simplify]: Simplify 0.5 into 0.5 2.953 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.953 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.953 * [taylor]: Taking taylor expansion of k in n 2.953 * [backup-simplify]: Simplify k into k 2.953 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.953 * [taylor]: Taking taylor expansion of 1.0 in n 2.953 * [backup-simplify]: Simplify 1.0 into 1.0 2.953 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.953 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.953 * [taylor]: Taking taylor expansion of -2.0 in n 2.953 * [backup-simplify]: Simplify -2.0 into -2.0 2.953 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.953 * [taylor]: Taking taylor expansion of PI in n 2.953 * [backup-simplify]: Simplify PI into PI 2.953 * [taylor]: Taking taylor expansion of n in n 2.953 * [backup-simplify]: Simplify 0 into 0 2.953 * [backup-simplify]: Simplify 1 into 1 2.953 * [backup-simplify]: Simplify (/ PI 1) into PI 2.954 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.954 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.954 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.954 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 2.955 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.956 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 2.957 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.957 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 2.957 * [taylor]: Taking taylor expansion of (/ -1 k) in n 2.957 * [taylor]: Taking taylor expansion of -1 in n 2.957 * [backup-simplify]: Simplify -1 into -1 2.957 * [taylor]: Taking taylor expansion of k in n 2.957 * [backup-simplify]: Simplify k into k 2.957 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 2.957 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 2.957 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 2.957 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 2.958 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) 2.958 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.958 * [taylor]: Taking taylor expansion of 1.0 in k 2.958 * [backup-simplify]: Simplify 1.0 into 1.0 2.958 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.958 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.958 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.958 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.958 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.958 * [taylor]: Taking taylor expansion of 0.5 in k 2.958 * [backup-simplify]: Simplify 0.5 into 0.5 2.959 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.959 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.959 * [taylor]: Taking taylor expansion of k in k 2.959 * [backup-simplify]: Simplify 0 into 0 2.959 * [backup-simplify]: Simplify 1 into 1 2.959 * [backup-simplify]: Simplify (/ 1 1) into 1 2.959 * [taylor]: Taking taylor expansion of 1.0 in k 2.959 * [backup-simplify]: Simplify 1.0 into 1.0 2.959 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.959 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.959 * [taylor]: Taking taylor expansion of -2.0 in k 2.959 * [backup-simplify]: Simplify -2.0 into -2.0 2.959 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.959 * [taylor]: Taking taylor expansion of PI in k 2.959 * [backup-simplify]: Simplify PI into PI 2.959 * [taylor]: Taking taylor expansion of n in k 2.959 * [backup-simplify]: Simplify n into n 2.959 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.959 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.959 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.959 * [backup-simplify]: Simplify (+ 1 0) into 1 2.960 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.960 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.960 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 2.960 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.960 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.960 * [taylor]: Taking taylor expansion of -1 in k 2.960 * [backup-simplify]: Simplify -1 into -1 2.960 * [taylor]: Taking taylor expansion of k in k 2.960 * [backup-simplify]: Simplify 0 into 0 2.960 * [backup-simplify]: Simplify 1 into 1 2.960 * [backup-simplify]: Simplify (/ -1 1) into -1 2.961 * [backup-simplify]: Simplify (sqrt 0) into 0 2.961 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.962 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 2.962 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 2.962 * [taylor]: Taking taylor expansion of 1.0 in k 2.962 * [backup-simplify]: Simplify 1.0 into 1.0 2.962 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 2.962 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 2.962 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 2.962 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 2.962 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 2.962 * [taylor]: Taking taylor expansion of 0.5 in k 2.962 * [backup-simplify]: Simplify 0.5 into 0.5 2.962 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 2.962 * [taylor]: Taking taylor expansion of (/ 1 k) in k 2.962 * [taylor]: Taking taylor expansion of k in k 2.962 * [backup-simplify]: Simplify 0 into 0 2.962 * [backup-simplify]: Simplify 1 into 1 2.962 * [backup-simplify]: Simplify (/ 1 1) into 1 2.962 * [taylor]: Taking taylor expansion of 1.0 in k 2.962 * [backup-simplify]: Simplify 1.0 into 1.0 2.962 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 2.962 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 2.962 * [taylor]: Taking taylor expansion of -2.0 in k 2.962 * [backup-simplify]: Simplify -2.0 into -2.0 2.962 * [taylor]: Taking taylor expansion of (/ PI n) in k 2.962 * [taylor]: Taking taylor expansion of PI in k 2.962 * [backup-simplify]: Simplify PI into PI 2.962 * [taylor]: Taking taylor expansion of n in k 2.962 * [backup-simplify]: Simplify n into n 2.962 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 2.962 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 2.962 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 2.963 * [backup-simplify]: Simplify (+ 1 0) into 1 2.963 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 2.963 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 2.963 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 2.963 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 2.963 * [taylor]: Taking taylor expansion of (/ -1 k) in k 2.963 * [taylor]: Taking taylor expansion of -1 in k 2.963 * [backup-simplify]: Simplify -1 into -1 2.963 * [taylor]: Taking taylor expansion of k in k 2.963 * [backup-simplify]: Simplify 0 into 0 2.963 * [backup-simplify]: Simplify 1 into 1 2.964 * [backup-simplify]: Simplify (/ -1 1) into -1 2.964 * [backup-simplify]: Simplify (sqrt 0) into 0 2.965 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 2.965 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 2.965 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 2.965 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 2.965 * [taylor]: Taking taylor expansion of +nan.0 in n 2.965 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.965 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 2.965 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 2.965 * [taylor]: Taking taylor expansion of 0.5 in n 2.965 * [backup-simplify]: Simplify 0.5 into 0.5 2.965 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 2.965 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.965 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.965 * [taylor]: Taking taylor expansion of -2.0 in n 2.965 * [backup-simplify]: Simplify -2.0 into -2.0 2.965 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.965 * [taylor]: Taking taylor expansion of PI in n 2.965 * [backup-simplify]: Simplify PI into PI 2.965 * [taylor]: Taking taylor expansion of n in n 2.965 * [backup-simplify]: Simplify 0 into 0 2.965 * [backup-simplify]: Simplify 1 into 1 2.966 * [backup-simplify]: Simplify (/ PI 1) into PI 2.966 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.967 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.967 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.967 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.967 * [taylor]: Taking taylor expansion of k in n 2.967 * [backup-simplify]: Simplify k into k 2.967 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.967 * [taylor]: Taking taylor expansion of 1.0 in n 2.967 * [backup-simplify]: Simplify 1.0 into 1.0 2.968 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.968 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.968 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 2.969 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 2.970 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.971 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 2.971 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 2.972 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 2.974 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 2.975 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 2.975 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 2.975 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 2.975 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 2.975 * [taylor]: Taking taylor expansion of +nan.0 in n 2.975 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.975 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 2.975 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 2.975 * [taylor]: Taking taylor expansion of 0.5 in n 2.975 * [backup-simplify]: Simplify 0.5 into 0.5 2.975 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 2.975 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.975 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.975 * [taylor]: Taking taylor expansion of -2.0 in n 2.975 * [backup-simplify]: Simplify -2.0 into -2.0 2.975 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.975 * [taylor]: Taking taylor expansion of PI in n 2.975 * [backup-simplify]: Simplify PI into PI 2.975 * [taylor]: Taking taylor expansion of n in n 2.975 * [backup-simplify]: Simplify 0 into 0 2.975 * [backup-simplify]: Simplify 1 into 1 2.976 * [backup-simplify]: Simplify (/ PI 1) into PI 2.976 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.977 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.977 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.977 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.977 * [taylor]: Taking taylor expansion of k in n 2.977 * [backup-simplify]: Simplify k into k 2.977 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.977 * [taylor]: Taking taylor expansion of 1.0 in n 2.977 * [backup-simplify]: Simplify 1.0 into 1.0 2.978 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.978 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 2.979 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 2.979 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 2.980 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 2.981 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 2.982 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 2.982 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 2.983 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.983 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 2.984 * [backup-simplify]: Simplify (+ 0 0) into 0 2.984 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 2.985 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 2.986 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 2.986 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 2.987 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into 0 2.988 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 2.989 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into 0 2.990 * [backup-simplify]: Simplify 0 into 0 2.990 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 2.992 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 2.993 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 2.994 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 2.994 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 2.994 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 2.994 * [taylor]: Taking taylor expansion of +nan.0 in n 2.994 * [backup-simplify]: Simplify +nan.0 into +nan.0 2.994 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 2.994 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 2.994 * [taylor]: Taking taylor expansion of 0.5 in n 2.994 * [backup-simplify]: Simplify 0.5 into 0.5 2.994 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 2.994 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 2.994 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 2.994 * [taylor]: Taking taylor expansion of -2.0 in n 2.994 * [backup-simplify]: Simplify -2.0 into -2.0 2.994 * [taylor]: Taking taylor expansion of (/ PI n) in n 2.994 * [taylor]: Taking taylor expansion of PI in n 2.994 * [backup-simplify]: Simplify PI into PI 2.994 * [taylor]: Taking taylor expansion of n in n 2.994 * [backup-simplify]: Simplify 0 into 0 2.994 * [backup-simplify]: Simplify 1 into 1 2.995 * [backup-simplify]: Simplify (/ PI 1) into PI 2.995 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 2.996 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 2.996 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 2.996 * [taylor]: Taking taylor expansion of (/ 1 k) in n 2.996 * [taylor]: Taking taylor expansion of k in n 2.996 * [backup-simplify]: Simplify k into k 2.996 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 2.996 * [taylor]: Taking taylor expansion of 1.0 in n 2.996 * [backup-simplify]: Simplify 1.0 into 1.0 2.999 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 2.999 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 3.000 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 3.001 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 3.001 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 3.002 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 3.003 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 3.004 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 3.007 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 3.007 * * * [progress]: simplifying candidates 3.009 * [simplify]: Simplifying: (* (+ (+ (log 2.0) (log PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (+ (log (* 2.0 PI)) (log n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* (log (* (* 2.0 PI) n)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ 1.0 2.0)) (pow (* (* 2.0 PI) n) (/ k 2.0)) (pow (* (* 2.0 PI) n) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* 2.0 PI) n) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (sqrt (- 1.0 k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* (* 2.0 PI) n) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* (* 2.0 PI) n) (/ 1 (sqrt 2.0))) (pow (* (* 2.0 PI) n) (/ 1 1)) (pow (* (* 2.0 PI) n) 1) (pow (* (* 2.0 PI) n) (- 1.0 k)) (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0)) (log (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (exp (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (* (* (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0)) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (sqrt (pow (* (* 2.0 PI) n) (/ (- 1.0 k) 2.0))) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* (* 2.0 PI) n) (/ (/ (- 1.0 k) 2.0) 2)) (* (* 2.0 PI) n) (* (* 2.0 PI) n) (+ (+ (log 2.0) (log PI)) (log n)) (+ (log (* 2.0 PI)) (log n)) (log (* (* 2.0 PI) n)) (exp (* (* 2.0 PI) n)) (* (* (* (* 2.0 2.0) 2.0) (* (* PI PI) PI)) (* (* n n) n)) (* (* (* (* 2.0 PI) (* 2.0 PI)) (* 2.0 PI)) (* (* n n) n)) (* (cbrt (* (* 2.0 PI) n)) (cbrt (* (* 2.0 PI) n))) (cbrt (* (* 2.0 PI) n)) (* (* (* (* 2.0 PI) n) (* (* 2.0 PI) n)) (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (sqrt (* (* 2.0 PI) n)) (* (* 2.0 PI) (* (cbrt n) (cbrt n))) (* (* 2.0 PI) (sqrt n)) (* (* 2.0 PI) 1) (* PI n) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt 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2))))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 3.012 * * [simplify]: iteration 0: 353 enodes 3.124 * * [simplify]: iteration 1: 986 enodes 3.717 * * [simplify]: iteration 2: 4735 enodes 4.832 * * [simplify]: iteration complete: 5000 enodes 4.832 * * [simplify]: Extracting #0: cost 120 inf + 0 4.834 * * [simplify]: Extracting #1: cost 760 inf + 2 4.838 * * [simplify]: Extracting #2: cost 1290 inf + 3940 4.852 * * [simplify]: Extracting #3: cost 1247 inf + 44035 4.906 * * [simplify]: Extracting #4: cost 737 inf + 198225 4.959 * * [simplify]: Extracting #5: cost 335 inf + 399390 5.045 * * [simplify]: Extracting #6: cost 355 inf + 439575 5.135 * * [simplify]: Extracting #7: cost 262 inf + 519829 5.243 * * [simplify]: Extracting #8: cost 66 inf + 702183 5.406 * * [simplify]: Extracting #9: cost 18 inf + 758060 5.600 * * [simplify]: Extracting #10: cost 0 inf + 790886 5.740 * * [simplify]: Extracting #11: cost 0 inf + 790606 5.888 * [simplify]: Simplified to: (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0))) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* (* PI n) 2.0) (/ 1.0 2.0)) (pow (* (* PI n) 2.0) (/ k 2.0)) (pow (* (* PI n) 2.0) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* (* PI n) 2.0) (sqrt (/ (- 1.0 k) 2.0))) (pow (* (* PI n) 2.0) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) 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k) 2.0) (log (* (* PI n) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (/ (- 1.0 k) 2.0) (log (* (* PI n) 2.0)))) (exp (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (* (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (/ (* 1.0 1.0) (sqrt k)) (/ 1.0 k))) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (* (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))))) (* (cbrt (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (cbrt (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))))) (cbrt (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))))) (sqrt (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (sqrt (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* 1.0 (pow (* (* PI n) 2.0) (/ 1.0 2.0))) (* (sqrt k) (pow (* (* PI n) 2.0) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)))) (* (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (/ 1.0 (sqrt k)))) (* (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 2)))) (* (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (/ (sqrt 1.0) (sqrt (sqrt k)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 2)))) (/ (sqrt 1.0) (/ (sqrt (sqrt k)) (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 2)))) (* (pow (* 2.0 PI) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (cbrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k)))) (* (sqrt (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k)) (/ (* (pow (* (* PI n) 2.0) (/ (/ (- 1.0 k) 2.0) 2)) 1.0) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (sqrt (/ 1.0 (sqrt k)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (sqrt (cbrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt k))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (cbrt (sqrt k)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt (cbrt k)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (cbrt (sqrt k)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (cbrt k)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (/ (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ 1.0 (/ (sqrt k) (pow (* (* PI n) 2.0) (/ 1.0 2.0)))) (* (pow (* (* PI n) 2.0) (/ (- 1.0 k) 2.0)) 1.0) (+ (+ (+ (exp (* (log (* (* PI n) 2.0)) 0.5)) (* 0.125 (* (* (* k (log (* 2.0 PI))) (* k (log (* 2.0 PI)))) (exp (* (log (* (* PI n) 2.0)) 0.5))))) (- (* (* 0.125 (exp (* (log (* (* PI n) 2.0)) 0.5))) (* (* k (log n)) (* k (log n)))) (* (+ (* (exp (* (log (* (* PI n) 2.0)) 0.5)) (* k (log n))) (* (exp (* (log (* (* PI n) 2.0)) 0.5)) (* k (log (* 2.0 PI))))) 0.5))) (* (* (* 0.25 (log (* 2.0 PI))) (exp (* (log (* (* PI n) 2.0)) 0.5))) (* (log n) (* k k)))) (exp (* (log (* (* PI n) 2.0)) (* (- 1.0 k) 0.5))) (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) (* (* PI n) 2.0) (* (* PI n) 2.0) (* (* PI n) 2.0) (- (- (* (* k k) +nan.0) (- +nan.0 (* k +nan.0)))) (- (/ (- +nan.0) (* k k)) (+ (/ (- +nan.0) k) (/ +nan.0 (* k (* k k))))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) +nan.0)) (+ (* (* +nan.0 (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) (- k)) (+ (- (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (* (* k k) +nan.0)) (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (* +nan.0 (* (log n) (* k k))))) (- (* +nan.0 (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) (+ (- (* (* +nan.0 (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) (* (* k (log (* 2.0 PI))) (* k (log (* 2.0 PI))))) (* +nan.0 (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (* (log n) (* (* k k) (log (* 2.0 PI))))))) (+ (- (* +nan.0 (* (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) (log (* 2.0 PI))) k)) (* (* k (log n)) (* (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5) +nan.0))) (* +nan.0 (- (* (* (* k k) (log (* 2.0 PI))) (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5)) (* (* (* k (log n)) (* k (log n))) (pow (* (* (pow PI 1.0) (pow 2.0 1.0)) (pow n 1.0)) 0.5))))))))) (+ (* +nan.0 (- (/ (exp (* (log (* (* PI n) 2.0)) (* (- 1.0 k) 0.5))) k) (/ (exp (* (log (* (* PI n) 2.0)) (* (- 1.0 k) 0.5))) (* k (* k k))))) (- (/ (* +nan.0 (exp (* (log (* (* PI n) 2.0)) (* (- 1.0 k) 0.5)))) (* k k)))) (+ (- (* (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) +nan.0)) (* +nan.0 (- (/ (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) k) (/ (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) (* k k))))) 5.900 * * * [progress]: adding candidates to table 6.867 * * [progress]: iteration 2 / 4 6.867 * * * [progress]: picking best candidate 6.914 * * * * [pick]: Picked # 6.914 * * * [progress]: localizing error 6.956 * * * [progress]: generating rewritten candidates 6.956 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2) 6.988 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2) 7.004 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 7.014 * * * * [progress]: [ 4 / 4 ] rewriting at (2) 7.055 * * * [progress]: generating series expansions 7.055 * * * * [progress]: [ 1 / 4 ] generating series at (2 2) 7.055 * [backup-simplify]: Simplify (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 7.055 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 7.055 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.055 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.055 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.055 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.055 * [taylor]: Taking taylor expansion of 0.5 in k 7.055 * [backup-simplify]: Simplify 0.5 into 0.5 7.055 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.055 * [taylor]: Taking taylor expansion of 1.0 in k 7.055 * [backup-simplify]: Simplify 1.0 into 1.0 7.055 * [taylor]: Taking taylor expansion of k in k 7.055 * [backup-simplify]: Simplify 0 into 0 7.055 * [backup-simplify]: Simplify 1 into 1 7.055 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.055 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.055 * [taylor]: Taking taylor expansion of 2.0 in k 7.055 * [backup-simplify]: Simplify 2.0 into 2.0 7.055 * [taylor]: Taking taylor expansion of (* n PI) in k 7.056 * [taylor]: Taking taylor expansion of n in k 7.056 * [backup-simplify]: Simplify n into n 7.056 * [taylor]: Taking taylor expansion of PI in k 7.056 * [backup-simplify]: Simplify PI into PI 7.056 * [backup-simplify]: Simplify (* n PI) into (* n PI) 7.056 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 7.056 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 7.056 * [backup-simplify]: Simplify (- 0) into 0 7.056 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.057 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.057 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 7.057 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 7.057 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.057 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.057 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.057 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.057 * [taylor]: Taking taylor expansion of 0.5 in n 7.057 * [backup-simplify]: Simplify 0.5 into 0.5 7.057 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.057 * [taylor]: Taking taylor expansion of 1.0 in n 7.057 * [backup-simplify]: Simplify 1.0 into 1.0 7.057 * [taylor]: Taking taylor expansion of k in n 7.057 * [backup-simplify]: Simplify k into k 7.057 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.057 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.057 * [taylor]: Taking taylor expansion of 2.0 in n 7.057 * [backup-simplify]: Simplify 2.0 into 2.0 7.057 * [taylor]: Taking taylor expansion of (* n PI) in n 7.057 * [taylor]: Taking taylor expansion of n in n 7.057 * [backup-simplify]: Simplify 0 into 0 7.057 * [backup-simplify]: Simplify 1 into 1 7.057 * [taylor]: Taking taylor expansion of PI in n 7.057 * [backup-simplify]: Simplify PI into PI 7.058 * [backup-simplify]: Simplify (* 0 PI) into 0 7.058 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.059 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.060 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.061 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.061 * [backup-simplify]: Simplify (- k) into (- k) 7.061 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.061 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.062 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.062 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 7.063 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 7.063 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.063 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.063 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.063 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.063 * [taylor]: Taking taylor expansion of 0.5 in n 7.063 * [backup-simplify]: Simplify 0.5 into 0.5 7.063 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.063 * [taylor]: Taking taylor expansion of 1.0 in n 7.063 * [backup-simplify]: Simplify 1.0 into 1.0 7.063 * [taylor]: Taking taylor expansion of k in n 7.063 * [backup-simplify]: Simplify k into k 7.063 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.063 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.064 * [taylor]: Taking taylor expansion of 2.0 in n 7.064 * [backup-simplify]: Simplify 2.0 into 2.0 7.064 * [taylor]: Taking taylor expansion of (* n PI) in n 7.064 * [taylor]: Taking taylor expansion of n in n 7.064 * [backup-simplify]: Simplify 0 into 0 7.064 * [backup-simplify]: Simplify 1 into 1 7.064 * [taylor]: Taking taylor expansion of PI in n 7.064 * [backup-simplify]: Simplify PI into PI 7.064 * [backup-simplify]: Simplify (* 0 PI) into 0 7.064 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.065 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.066 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.067 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.067 * [backup-simplify]: Simplify (- k) into (- k) 7.067 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.067 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.068 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.069 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 7.069 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 7.069 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 7.069 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 7.069 * [taylor]: Taking taylor expansion of 0.5 in k 7.069 * [backup-simplify]: Simplify 0.5 into 0.5 7.069 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 7.069 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.070 * [taylor]: Taking taylor expansion of 1.0 in k 7.070 * [backup-simplify]: Simplify 1.0 into 1.0 7.070 * [taylor]: Taking taylor expansion of k in k 7.070 * [backup-simplify]: Simplify 0 into 0 7.070 * [backup-simplify]: Simplify 1 into 1 7.070 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 7.070 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.070 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.070 * [taylor]: Taking taylor expansion of 2.0 in k 7.070 * [backup-simplify]: Simplify 2.0 into 2.0 7.070 * [taylor]: Taking taylor expansion of PI in k 7.070 * [backup-simplify]: Simplify PI into PI 7.070 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.071 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.071 * [taylor]: Taking taylor expansion of (log n) in k 7.071 * [taylor]: Taking taylor expansion of n in k 7.071 * [backup-simplify]: Simplify n into n 7.071 * [backup-simplify]: Simplify (log n) into (log n) 7.071 * [backup-simplify]: Simplify (- 0) into 0 7.071 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.072 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 7.073 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 7.073 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 7.074 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 7.075 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 7.076 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.076 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 7.077 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.078 * [backup-simplify]: Simplify (- 0) into 0 7.078 * [backup-simplify]: Simplify (+ 0 0) into 0 7.078 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 7.079 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.080 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 7.084 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.084 * [taylor]: Taking taylor expansion of 0 in k 7.084 * [backup-simplify]: Simplify 0 into 0 7.084 * [backup-simplify]: Simplify 0 into 0 7.085 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.086 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 7.086 * [backup-simplify]: Simplify (+ 0 0) into 0 7.087 * [backup-simplify]: Simplify (- 1) into -1 7.087 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.088 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 7.089 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 7.091 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 7.093 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 7.094 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.095 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 7.097 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 7.097 * [backup-simplify]: Simplify (- 0) into 0 7.097 * [backup-simplify]: Simplify (+ 0 0) into 0 7.098 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 7.099 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.100 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 7.101 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.101 * [taylor]: Taking taylor expansion of 0 in k 7.101 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify 0 into 0 7.101 * [backup-simplify]: Simplify 0 into 0 7.102 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.104 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 7.106 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 7.106 * [backup-simplify]: Simplify (+ 0 0) into 0 7.107 * [backup-simplify]: Simplify (- 0) into 0 7.107 * [backup-simplify]: Simplify (+ 0 0) into 0 7.109 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 7.112 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 7.116 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 7.122 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 7.129 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 7.130 * [backup-simplify]: Simplify (pow (* 2.0 (* (/ 1 n) PI)) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 7.130 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 7.130 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.130 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 7.130 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 7.130 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.130 * [taylor]: Taking taylor expansion of 0.5 in k 7.130 * [backup-simplify]: Simplify 0.5 into 0.5 7.130 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.130 * [taylor]: Taking taylor expansion of 1.0 in k 7.130 * [backup-simplify]: Simplify 1.0 into 1.0 7.130 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.130 * [taylor]: Taking taylor expansion of k in k 7.130 * [backup-simplify]: Simplify 0 into 0 7.130 * [backup-simplify]: Simplify 1 into 1 7.130 * [backup-simplify]: Simplify (/ 1 1) into 1 7.130 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 7.130 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 7.130 * [taylor]: Taking taylor expansion of 2.0 in k 7.130 * [backup-simplify]: Simplify 2.0 into 2.0 7.130 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.130 * [taylor]: Taking taylor expansion of PI in k 7.130 * [backup-simplify]: Simplify PI into PI 7.130 * [taylor]: Taking taylor expansion of n in k 7.130 * [backup-simplify]: Simplify n into n 7.130 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 7.130 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 7.131 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 7.131 * [backup-simplify]: Simplify (- 1) into -1 7.131 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.131 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.131 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 7.132 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 7.132 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.132 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.132 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.132 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.132 * [taylor]: Taking taylor expansion of 0.5 in n 7.132 * [backup-simplify]: Simplify 0.5 into 0.5 7.132 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.132 * [taylor]: Taking taylor expansion of 1.0 in n 7.132 * [backup-simplify]: Simplify 1.0 into 1.0 7.132 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.132 * [taylor]: Taking taylor expansion of k in n 7.132 * [backup-simplify]: Simplify k into k 7.132 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.132 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.132 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.132 * [taylor]: Taking taylor expansion of 2.0 in n 7.132 * [backup-simplify]: Simplify 2.0 into 2.0 7.132 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.132 * [taylor]: Taking taylor expansion of PI in n 7.132 * [backup-simplify]: Simplify PI into PI 7.132 * [taylor]: Taking taylor expansion of n in n 7.132 * [backup-simplify]: Simplify 0 into 0 7.132 * [backup-simplify]: Simplify 1 into 1 7.132 * [backup-simplify]: Simplify (/ PI 1) into PI 7.133 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.133 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.133 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.134 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.134 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.134 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.135 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 7.136 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 7.136 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.136 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.136 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.136 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.136 * [taylor]: Taking taylor expansion of 0.5 in n 7.136 * [backup-simplify]: Simplify 0.5 into 0.5 7.136 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.136 * [taylor]: Taking taylor expansion of 1.0 in n 7.136 * [backup-simplify]: Simplify 1.0 into 1.0 7.136 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.136 * [taylor]: Taking taylor expansion of k in n 7.136 * [backup-simplify]: Simplify k into k 7.136 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.136 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.136 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.136 * [taylor]: Taking taylor expansion of 2.0 in n 7.136 * [backup-simplify]: Simplify 2.0 into 2.0 7.136 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.136 * [taylor]: Taking taylor expansion of PI in n 7.136 * [backup-simplify]: Simplify PI into PI 7.136 * [taylor]: Taking taylor expansion of n in n 7.136 * [backup-simplify]: Simplify 0 into 0 7.136 * [backup-simplify]: Simplify 1 into 1 7.137 * [backup-simplify]: Simplify (/ PI 1) into PI 7.137 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.138 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.138 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.138 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.138 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.139 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.140 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 7.140 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 7.140 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 7.140 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 7.141 * [taylor]: Taking taylor expansion of 0.5 in k 7.141 * [backup-simplify]: Simplify 0.5 into 0.5 7.141 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 7.141 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.141 * [taylor]: Taking taylor expansion of 1.0 in k 7.141 * [backup-simplify]: Simplify 1.0 into 1.0 7.141 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.141 * [taylor]: Taking taylor expansion of k in k 7.141 * [backup-simplify]: Simplify 0 into 0 7.141 * [backup-simplify]: Simplify 1 into 1 7.141 * [backup-simplify]: Simplify (/ 1 1) into 1 7.141 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 7.141 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 7.141 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 7.141 * [taylor]: Taking taylor expansion of 2.0 in k 7.141 * [backup-simplify]: Simplify 2.0 into 2.0 7.141 * [taylor]: Taking taylor expansion of PI in k 7.141 * [backup-simplify]: Simplify PI into PI 7.141 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.142 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.142 * [taylor]: Taking taylor expansion of (log n) in k 7.142 * [taylor]: Taking taylor expansion of n in k 7.142 * [backup-simplify]: Simplify n into n 7.142 * [backup-simplify]: Simplify (log n) into (log n) 7.142 * [backup-simplify]: Simplify (- 1) into -1 7.143 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.143 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.143 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 7.144 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 7.145 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 7.146 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 7.146 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 7.147 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.147 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.148 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.148 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.149 * [backup-simplify]: Simplify (- 0) into 0 7.149 * [backup-simplify]: Simplify (+ 0 0) into 0 7.149 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 7.150 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.151 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 7.152 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.152 * [taylor]: Taking taylor expansion of 0 in k 7.152 * [backup-simplify]: Simplify 0 into 0 7.152 * [backup-simplify]: Simplify 0 into 0 7.152 * [backup-simplify]: Simplify 0 into 0 7.153 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.154 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.156 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 7.156 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.156 * [backup-simplify]: Simplify (- 0) into 0 7.156 * [backup-simplify]: Simplify (+ 0 0) into 0 7.157 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 7.158 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.159 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 7.160 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.160 * [taylor]: Taking taylor expansion of 0 in k 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify 0 into 0 7.160 * [backup-simplify]: Simplify 0 into 0 7.161 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.163 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.169 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 7.169 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.170 * [backup-simplify]: Simplify (- 0) into 0 7.170 * [backup-simplify]: Simplify (+ 0 0) into 0 7.171 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 7.173 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.175 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 7.178 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.178 * [taylor]: Taking taylor expansion of 0 in k 7.178 * [backup-simplify]: Simplify 0 into 0 7.178 * [backup-simplify]: Simplify 0 into 0 7.179 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 7.180 * [backup-simplify]: Simplify (pow (* 2.0 (* (/ 1 (- n)) PI)) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 7.180 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 7.180 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.180 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 7.180 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 7.180 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.180 * [taylor]: Taking taylor expansion of 0.5 in k 7.180 * [backup-simplify]: Simplify 0.5 into 0.5 7.180 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.180 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.180 * [taylor]: Taking taylor expansion of k in k 7.180 * [backup-simplify]: Simplify 0 into 0 7.180 * [backup-simplify]: Simplify 1 into 1 7.181 * [backup-simplify]: Simplify (/ 1 1) into 1 7.181 * [taylor]: Taking taylor expansion of 1.0 in k 7.181 * [backup-simplify]: Simplify 1.0 into 1.0 7.181 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 7.181 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 7.181 * [taylor]: Taking taylor expansion of -2.0 in k 7.181 * [backup-simplify]: Simplify -2.0 into -2.0 7.181 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.181 * [taylor]: Taking taylor expansion of PI in k 7.181 * [backup-simplify]: Simplify PI into PI 7.181 * [taylor]: Taking taylor expansion of n in k 7.181 * [backup-simplify]: Simplify n into n 7.181 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 7.181 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 7.181 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 7.182 * [backup-simplify]: Simplify (+ 1 0) into 1 7.182 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.182 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 7.183 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 7.183 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.183 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.183 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.183 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.183 * [taylor]: Taking taylor expansion of 0.5 in n 7.183 * [backup-simplify]: Simplify 0.5 into 0.5 7.183 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.183 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.183 * [taylor]: Taking taylor expansion of k in n 7.183 * [backup-simplify]: Simplify k into k 7.183 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.183 * [taylor]: Taking taylor expansion of 1.0 in n 7.183 * [backup-simplify]: Simplify 1.0 into 1.0 7.183 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.183 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.183 * [taylor]: Taking taylor expansion of -2.0 in n 7.183 * [backup-simplify]: Simplify -2.0 into -2.0 7.183 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.183 * [taylor]: Taking taylor expansion of PI in n 7.183 * [backup-simplify]: Simplify PI into PI 7.183 * [taylor]: Taking taylor expansion of n in n 7.183 * [backup-simplify]: Simplify 0 into 0 7.183 * [backup-simplify]: Simplify 1 into 1 7.184 * [backup-simplify]: Simplify (/ PI 1) into PI 7.184 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.185 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.186 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.186 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.187 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.188 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 7.189 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 7.189 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.189 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.189 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.189 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.189 * [taylor]: Taking taylor expansion of 0.5 in n 7.189 * [backup-simplify]: Simplify 0.5 into 0.5 7.189 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.189 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.189 * [taylor]: Taking taylor expansion of k in n 7.189 * [backup-simplify]: Simplify k into k 7.189 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.190 * [taylor]: Taking taylor expansion of 1.0 in n 7.190 * [backup-simplify]: Simplify 1.0 into 1.0 7.190 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.190 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.190 * [taylor]: Taking taylor expansion of -2.0 in n 7.190 * [backup-simplify]: Simplify -2.0 into -2.0 7.190 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.190 * [taylor]: Taking taylor expansion of PI in n 7.190 * [backup-simplify]: Simplify PI into PI 7.190 * [taylor]: Taking taylor expansion of n in n 7.190 * [backup-simplify]: Simplify 0 into 0 7.190 * [backup-simplify]: Simplify 1 into 1 7.190 * [backup-simplify]: Simplify (/ PI 1) into PI 7.190 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.191 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.191 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.191 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.195 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.196 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 7.197 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 7.197 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 7.197 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 7.197 * [taylor]: Taking taylor expansion of 0.5 in k 7.197 * [backup-simplify]: Simplify 0.5 into 0.5 7.197 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 7.197 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 7.197 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 7.197 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 7.197 * [taylor]: Taking taylor expansion of -2.0 in k 7.197 * [backup-simplify]: Simplify -2.0 into -2.0 7.197 * [taylor]: Taking taylor expansion of PI in k 7.197 * [backup-simplify]: Simplify PI into PI 7.197 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.198 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.198 * [taylor]: Taking taylor expansion of (log n) in k 7.198 * [taylor]: Taking taylor expansion of n in k 7.198 * [backup-simplify]: Simplify n into n 7.198 * [backup-simplify]: Simplify (log n) into (log n) 7.198 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.198 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.198 * [taylor]: Taking taylor expansion of k in k 7.198 * [backup-simplify]: Simplify 0 into 0 7.198 * [backup-simplify]: Simplify 1 into 1 7.198 * [backup-simplify]: Simplify (/ 1 1) into 1 7.198 * [taylor]: Taking taylor expansion of 1.0 in k 7.198 * [backup-simplify]: Simplify 1.0 into 1.0 7.199 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 7.199 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 7.200 * [backup-simplify]: Simplify (+ 1 0) into 1 7.200 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 7.201 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 7.202 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 7.203 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 7.203 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.204 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 7.205 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 7.205 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.205 * [backup-simplify]: Simplify (+ 0 0) into 0 7.205 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 7.206 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.207 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 7.208 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.208 * [taylor]: Taking taylor expansion of 0 in k 7.208 * [backup-simplify]: Simplify 0 into 0 7.208 * [backup-simplify]: Simplify 0 into 0 7.208 * [backup-simplify]: Simplify 0 into 0 7.209 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.209 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 7.211 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 7.211 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.212 * [backup-simplify]: Simplify (+ 0 0) into 0 7.212 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 7.213 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.214 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 7.216 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 7.216 * [taylor]: Taking taylor expansion of 0 in k 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify 0 into 0 7.216 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.217 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.220 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 7.221 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 7.221 * [backup-simplify]: Simplify (+ 0 0) into 0 7.222 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 7.224 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.226 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 7.229 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 7.229 * [taylor]: Taking taylor expansion of 0 in k 7.229 * [backup-simplify]: Simplify 0 into 0 7.229 * [backup-simplify]: Simplify 0 into 0 7.231 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 7.231 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2) 7.231 * [backup-simplify]: Simplify (* n PI) into (* n PI) 7.231 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 7.231 * [taylor]: Taking taylor expansion of (* n PI) in n 7.231 * [taylor]: Taking taylor expansion of n in n 7.231 * [backup-simplify]: Simplify 0 into 0 7.231 * [backup-simplify]: Simplify 1 into 1 7.231 * [taylor]: Taking taylor expansion of PI in n 7.231 * [backup-simplify]: Simplify PI into PI 7.231 * [taylor]: Taking taylor expansion of (* n PI) in n 7.231 * [taylor]: Taking taylor expansion of n in n 7.231 * [backup-simplify]: Simplify 0 into 0 7.231 * [backup-simplify]: Simplify 1 into 1 7.231 * [taylor]: Taking taylor expansion of PI in n 7.231 * [backup-simplify]: Simplify PI into PI 7.232 * [backup-simplify]: Simplify (* 0 PI) into 0 7.232 * [backup-simplify]: Simplify 0 into 0 7.233 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.233 * [backup-simplify]: Simplify PI into PI 7.235 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 7.235 * [backup-simplify]: Simplify 0 into 0 7.236 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 7.236 * [backup-simplify]: Simplify 0 into 0 7.237 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.237 * [backup-simplify]: Simplify 0 into 0 7.239 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.239 * [backup-simplify]: Simplify 0 into 0 7.241 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.241 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 7.243 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify (* PI n) into (* n PI) 7.243 * [backup-simplify]: Simplify (* (/ 1 n) PI) into (/ PI n) 7.243 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 7.243 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.243 * [taylor]: Taking taylor expansion of PI in n 7.243 * [backup-simplify]: Simplify PI into PI 7.243 * [taylor]: Taking taylor expansion of n in n 7.243 * [backup-simplify]: Simplify 0 into 0 7.243 * [backup-simplify]: Simplify 1 into 1 7.244 * [backup-simplify]: Simplify (/ PI 1) into PI 7.244 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.244 * [taylor]: Taking taylor expansion of PI in n 7.244 * [backup-simplify]: Simplify PI into PI 7.244 * [taylor]: Taking taylor expansion of n in n 7.244 * [backup-simplify]: Simplify 0 into 0 7.244 * [backup-simplify]: Simplify 1 into 1 7.245 * [backup-simplify]: Simplify (/ PI 1) into PI 7.245 * [backup-simplify]: Simplify PI into PI 7.246 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.246 * [backup-simplify]: Simplify 0 into 0 7.247 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.247 * [backup-simplify]: Simplify 0 into 0 7.248 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.248 * [backup-simplify]: Simplify 0 into 0 7.249 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.249 * [backup-simplify]: Simplify 0 into 0 7.251 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.251 * [backup-simplify]: Simplify 0 into 0 7.252 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.252 * [backup-simplify]: Simplify 0 into 0 7.252 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 n))) into (* n PI) 7.252 * [backup-simplify]: Simplify (* (/ 1 (- n)) PI) into (* -1 (/ PI n)) 7.252 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 7.252 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 7.252 * [taylor]: Taking taylor expansion of -1 in n 7.252 * [backup-simplify]: Simplify -1 into -1 7.252 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.252 * [taylor]: Taking taylor expansion of PI in n 7.252 * [backup-simplify]: Simplify PI into PI 7.252 * [taylor]: Taking taylor expansion of n in n 7.252 * [backup-simplify]: Simplify 0 into 0 7.252 * [backup-simplify]: Simplify 1 into 1 7.253 * [backup-simplify]: Simplify (/ PI 1) into PI 7.253 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 7.253 * [taylor]: Taking taylor expansion of -1 in n 7.253 * [backup-simplify]: Simplify -1 into -1 7.253 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.253 * [taylor]: Taking taylor expansion of PI in n 7.253 * [backup-simplify]: Simplify PI into PI 7.253 * [taylor]: Taking taylor expansion of n in n 7.253 * [backup-simplify]: Simplify 0 into 0 7.253 * [backup-simplify]: Simplify 1 into 1 7.254 * [backup-simplify]: Simplify (/ PI 1) into PI 7.255 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 7.255 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 7.256 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.257 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 7.257 * [backup-simplify]: Simplify 0 into 0 7.258 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.259 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 7.259 * [backup-simplify]: Simplify 0 into 0 7.260 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.262 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.262 * [backup-simplify]: Simplify 0 into 0 7.263 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.264 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 7.264 * [backup-simplify]: Simplify 0 into 0 7.265 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.267 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 7.267 * [backup-simplify]: Simplify 0 into 0 7.268 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.270 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 7.270 * [backup-simplify]: Simplify 0 into 0 7.271 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- n)))) into (* n PI) 7.271 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 7.271 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 7.271 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 7.271 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.271 * [taylor]: Taking taylor expansion of 1.0 in k 7.271 * [backup-simplify]: Simplify 1.0 into 1.0 7.271 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.271 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.271 * [taylor]: Taking taylor expansion of k in k 7.271 * [backup-simplify]: Simplify 0 into 0 7.271 * [backup-simplify]: Simplify 1 into 1 7.272 * [backup-simplify]: Simplify (/ 1 1) into 1 7.272 * [backup-simplify]: Simplify (sqrt 0) into 0 7.274 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.274 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 7.274 * [taylor]: Taking taylor expansion of 1.0 in k 7.274 * [backup-simplify]: Simplify 1.0 into 1.0 7.274 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.274 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.274 * [taylor]: Taking taylor expansion of k in k 7.274 * [backup-simplify]: Simplify 0 into 0 7.274 * [backup-simplify]: Simplify 1 into 1 7.274 * [backup-simplify]: Simplify (/ 1 1) into 1 7.275 * [backup-simplify]: Simplify (sqrt 0) into 0 7.276 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.277 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.277 * [backup-simplify]: Simplify 0 into 0 7.278 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 7.279 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.280 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.283 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.285 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.285 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.286 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.290 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.292 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.292 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.294 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 7.294 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 7.294 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 7.294 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.294 * [taylor]: Taking taylor expansion of 1.0 in k 7.294 * [backup-simplify]: Simplify 1.0 into 1.0 7.294 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.294 * [taylor]: Taking taylor expansion of k in k 7.294 * [backup-simplify]: Simplify 0 into 0 7.294 * [backup-simplify]: Simplify 1 into 1 7.295 * [backup-simplify]: Simplify (sqrt 0) into 0 7.296 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.296 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 7.296 * [taylor]: Taking taylor expansion of 1.0 in k 7.296 * [backup-simplify]: Simplify 1.0 into 1.0 7.296 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.296 * [taylor]: Taking taylor expansion of k in k 7.296 * [backup-simplify]: Simplify 0 into 0 7.296 * [backup-simplify]: Simplify 1 into 1 7.297 * [backup-simplify]: Simplify (sqrt 0) into 0 7.298 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.299 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.299 * [backup-simplify]: Simplify 0 into 0 7.300 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 7.300 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.304 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.306 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 7.306 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.310 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.313 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 7.313 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.315 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 7.315 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 7.315 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 7.315 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.315 * [taylor]: Taking taylor expansion of 1.0 in k 7.315 * [backup-simplify]: Simplify 1.0 into 1.0 7.315 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.315 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.315 * [taylor]: Taking taylor expansion of -1 in k 7.315 * [backup-simplify]: Simplify -1 into -1 7.315 * [taylor]: Taking taylor expansion of k in k 7.315 * [backup-simplify]: Simplify 0 into 0 7.315 * [backup-simplify]: Simplify 1 into 1 7.316 * [backup-simplify]: Simplify (/ -1 1) into -1 7.316 * [backup-simplify]: Simplify (sqrt 0) into 0 7.318 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.318 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 7.318 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 7.318 * [taylor]: Taking taylor expansion of 1.0 in k 7.318 * [backup-simplify]: Simplify 1.0 into 1.0 7.318 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.318 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.318 * [taylor]: Taking taylor expansion of -1 in k 7.318 * [backup-simplify]: Simplify -1 into -1 7.318 * [taylor]: Taking taylor expansion of k in k 7.318 * [backup-simplify]: Simplify 0 into 0 7.318 * [backup-simplify]: Simplify 1 into 1 7.319 * [backup-simplify]: Simplify (/ -1 1) into -1 7.319 * [backup-simplify]: Simplify (sqrt 0) into 0 7.320 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.321 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 7.321 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.322 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.328 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.331 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 7.331 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.332 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.336 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.341 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 7.341 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 7.342 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 7.342 * * * * [progress]: [ 4 / 4 ] generating series at (2) 7.343 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) into (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) 7.343 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in (k n) around 0 7.343 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in n 7.343 * [taylor]: Taking taylor expansion of 1.0 in n 7.343 * [backup-simplify]: Simplify 1.0 into 1.0 7.343 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in n 7.343 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 7.343 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 7.343 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 7.343 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 7.343 * [taylor]: Taking taylor expansion of 0.5 in n 7.343 * [backup-simplify]: Simplify 0.5 into 0.5 7.343 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 7.343 * [taylor]: Taking taylor expansion of 1.0 in n 7.343 * [backup-simplify]: Simplify 1.0 into 1.0 7.343 * [taylor]: Taking taylor expansion of k in n 7.343 * [backup-simplify]: Simplify k into k 7.343 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.343 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.343 * [taylor]: Taking taylor expansion of 2.0 in n 7.343 * [backup-simplify]: Simplify 2.0 into 2.0 7.343 * [taylor]: Taking taylor expansion of (* n PI) in n 7.344 * [taylor]: Taking taylor expansion of n in n 7.344 * [backup-simplify]: Simplify 0 into 0 7.344 * [backup-simplify]: Simplify 1 into 1 7.344 * [taylor]: Taking taylor expansion of PI in n 7.344 * [backup-simplify]: Simplify PI into PI 7.344 * [backup-simplify]: Simplify (* 0 PI) into 0 7.345 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.346 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.348 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.349 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.349 * [backup-simplify]: Simplify (- k) into (- k) 7.349 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 7.349 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 7.351 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.352 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 7.353 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 7.353 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in n 7.353 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.353 * [taylor]: Taking taylor expansion of k in n 7.354 * [backup-simplify]: Simplify k into k 7.354 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.354 * [backup-simplify]: Simplify (sqrt (/ 1 k)) into (sqrt (/ 1 k)) 7.354 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.354 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ 1 k)))) into 0 7.354 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 7.354 * [taylor]: Taking taylor expansion of 1.0 in k 7.354 * [backup-simplify]: Simplify 1.0 into 1.0 7.354 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 7.354 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.354 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.354 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.354 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.354 * [taylor]: Taking taylor expansion of 0.5 in k 7.354 * [backup-simplify]: Simplify 0.5 into 0.5 7.354 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.354 * [taylor]: Taking taylor expansion of 1.0 in k 7.354 * [backup-simplify]: Simplify 1.0 into 1.0 7.354 * [taylor]: Taking taylor expansion of k in k 7.354 * [backup-simplify]: Simplify 0 into 0 7.354 * [backup-simplify]: Simplify 1 into 1 7.354 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.354 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.355 * [taylor]: Taking taylor expansion of 2.0 in k 7.355 * [backup-simplify]: Simplify 2.0 into 2.0 7.355 * [taylor]: Taking taylor expansion of (* n PI) in k 7.355 * [taylor]: Taking taylor expansion of n in k 7.355 * [backup-simplify]: Simplify n into n 7.355 * [taylor]: Taking taylor expansion of PI in k 7.355 * [backup-simplify]: Simplify PI into PI 7.355 * [backup-simplify]: Simplify (* n PI) into (* n PI) 7.355 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 7.355 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 7.355 * [backup-simplify]: Simplify (- 0) into 0 7.356 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.356 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.356 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 7.357 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 7.357 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.357 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.357 * [taylor]: Taking taylor expansion of k in k 7.357 * [backup-simplify]: Simplify 0 into 0 7.357 * [backup-simplify]: Simplify 1 into 1 7.357 * [backup-simplify]: Simplify (/ 1 1) into 1 7.358 * [backup-simplify]: Simplify (sqrt 0) into 0 7.359 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.359 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k)))) in k 7.359 * [taylor]: Taking taylor expansion of 1.0 in k 7.359 * [backup-simplify]: Simplify 1.0 into 1.0 7.359 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) (sqrt (/ 1 k))) in k 7.359 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 7.359 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 7.359 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 7.359 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 7.359 * [taylor]: Taking taylor expansion of 0.5 in k 7.359 * [backup-simplify]: Simplify 0.5 into 0.5 7.359 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 7.360 * [taylor]: Taking taylor expansion of 1.0 in k 7.360 * [backup-simplify]: Simplify 1.0 into 1.0 7.360 * [taylor]: Taking taylor expansion of k in k 7.360 * [backup-simplify]: Simplify 0 into 0 7.360 * [backup-simplify]: Simplify 1 into 1 7.360 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 7.360 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 7.360 * [taylor]: Taking taylor expansion of 2.0 in k 7.360 * [backup-simplify]: Simplify 2.0 into 2.0 7.360 * [taylor]: Taking taylor expansion of (* n PI) in k 7.360 * [taylor]: Taking taylor expansion of n in k 7.360 * [backup-simplify]: Simplify n into n 7.360 * [taylor]: Taking taylor expansion of PI in k 7.360 * [backup-simplify]: Simplify PI into PI 7.360 * [backup-simplify]: Simplify (* n PI) into (* n PI) 7.360 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 7.360 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 7.361 * [backup-simplify]: Simplify (- 0) into 0 7.361 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 7.361 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 7.362 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 7.362 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 7.362 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 7.362 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.362 * [taylor]: Taking taylor expansion of k in k 7.362 * [backup-simplify]: Simplify 0 into 0 7.362 * [backup-simplify]: Simplify 1 into 1 7.362 * [backup-simplify]: Simplify (/ 1 1) into 1 7.363 * [backup-simplify]: Simplify (sqrt 0) into 0 7.364 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.364 * [backup-simplify]: Simplify (* (pow (* 2.0 (* n PI)) 0.5) 0) into 0 7.365 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.365 * [taylor]: Taking taylor expansion of 0 in n 7.365 * [backup-simplify]: Simplify 0 into 0 7.365 * [backup-simplify]: Simplify 0 into 0 7.365 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 7.366 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 (* n PI))) into 0 7.367 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 1) into 0 7.367 * [backup-simplify]: Simplify (- 1) into -1 7.368 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.369 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 7.370 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* 2.0 (* n PI))))) into (- (* 0.5 (log (* 2.0 (* n PI))))) 7.371 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1)))) into (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 7.373 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) 0)) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 7.374 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 7.375 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 7.375 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 7.375 * [taylor]: Taking taylor expansion of +nan.0 in n 7.375 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.375 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 7.375 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 7.375 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 7.375 * [taylor]: Taking taylor expansion of 0.5 in n 7.375 * [backup-simplify]: Simplify 0.5 into 0.5 7.375 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 7.375 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 7.375 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.375 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.375 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.375 * [taylor]: Taking taylor expansion of 1.0 in n 7.375 * [backup-simplify]: Simplify 1.0 into 1.0 7.375 * [taylor]: Taking taylor expansion of (log PI) in n 7.375 * [taylor]: Taking taylor expansion of PI in n 7.375 * [backup-simplify]: Simplify PI into PI 7.376 * [backup-simplify]: Simplify (log PI) into (log PI) 7.377 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 7.378 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 7.378 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 7.378 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.378 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.378 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.378 * [taylor]: Taking taylor expansion of 1.0 in n 7.378 * [backup-simplify]: Simplify 1.0 into 1.0 7.379 * [taylor]: Taking taylor expansion of (log n) in n 7.379 * [taylor]: Taking taylor expansion of n in n 7.379 * [backup-simplify]: Simplify 0 into 0 7.379 * [backup-simplify]: Simplify 1 into 1 7.379 * [backup-simplify]: Simplify (log 1) into 0 7.379 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.380 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 7.380 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 7.380 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.380 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.380 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.380 * [taylor]: Taking taylor expansion of 1.0 in n 7.380 * [backup-simplify]: Simplify 1.0 into 1.0 7.380 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.380 * [taylor]: Taking taylor expansion of 2.0 in n 7.380 * [backup-simplify]: Simplify 2.0 into 2.0 7.380 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 7.381 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 7.383 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 7.383 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 7.385 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 7.386 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 7.387 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 7.389 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 7.390 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 7.392 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 7.393 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) 7.394 * [backup-simplify]: Simplify 0 into 0 7.394 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 7.398 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.398 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 7.399 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 (* n PI)))) into 0 7.401 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 2) into 0 7.401 * [backup-simplify]: Simplify (- 0) into 0 7.402 * [backup-simplify]: Simplify (+ 0 0) into 0 7.403 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 7.404 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* 2.0 (* n PI)))))) into 0 7.405 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 7.409 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))) 7.415 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) 7.415 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) in n 7.415 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))) in n 7.415 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 7.415 * [taylor]: Taking taylor expansion of +nan.0 in n 7.415 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.415 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 7.415 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 7.415 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 7.415 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 7.415 * [taylor]: Taking taylor expansion of 0.5 in n 7.415 * [backup-simplify]: Simplify 0.5 into 0.5 7.415 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 7.415 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 7.415 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.415 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.415 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.416 * [taylor]: Taking taylor expansion of 1.0 in n 7.416 * [backup-simplify]: Simplify 1.0 into 1.0 7.416 * [taylor]: Taking taylor expansion of (log PI) in n 7.416 * [taylor]: Taking taylor expansion of PI in n 7.416 * [backup-simplify]: Simplify PI into PI 7.416 * [backup-simplify]: Simplify (log PI) into (log PI) 7.417 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 7.419 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 7.419 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 7.419 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.419 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.419 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.419 * [taylor]: Taking taylor expansion of 1.0 in n 7.419 * [backup-simplify]: Simplify 1.0 into 1.0 7.419 * [taylor]: Taking taylor expansion of (log n) in n 7.419 * [taylor]: Taking taylor expansion of n in n 7.419 * [backup-simplify]: Simplify 0 into 0 7.419 * [backup-simplify]: Simplify 1 into 1 7.420 * [backup-simplify]: Simplify (log 1) into 0 7.420 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.420 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 7.420 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 7.420 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.420 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.420 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.420 * [taylor]: Taking taylor expansion of 1.0 in n 7.420 * [backup-simplify]: Simplify 1.0 into 1.0 7.420 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.421 * [taylor]: Taking taylor expansion of 2.0 in n 7.421 * [backup-simplify]: Simplify 2.0 into 2.0 7.421 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 7.422 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 7.423 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 7.424 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 7.425 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 7.427 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 7.428 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 7.430 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 7.430 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.430 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.430 * [taylor]: Taking taylor expansion of 2.0 in n 7.430 * [backup-simplify]: Simplify 2.0 into 2.0 7.430 * [taylor]: Taking taylor expansion of (* n PI) in n 7.430 * [taylor]: Taking taylor expansion of n in n 7.430 * [backup-simplify]: Simplify 0 into 0 7.430 * [backup-simplify]: Simplify 1 into 1 7.430 * [taylor]: Taking taylor expansion of PI in n 7.430 * [backup-simplify]: Simplify PI into PI 7.431 * [backup-simplify]: Simplify (* 0 PI) into 0 7.431 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.433 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.434 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.436 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.436 * [taylor]: Taking taylor expansion of (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) in n 7.436 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) in n 7.436 * [taylor]: Taking taylor expansion of +nan.0 in n 7.436 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.436 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 7.436 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 7.436 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 7.436 * [taylor]: Taking taylor expansion of 0.5 in n 7.436 * [backup-simplify]: Simplify 0.5 into 0.5 7.436 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 7.436 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 7.436 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.436 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.436 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.436 * [taylor]: Taking taylor expansion of 1.0 in n 7.436 * [backup-simplify]: Simplify 1.0 into 1.0 7.436 * [taylor]: Taking taylor expansion of (log PI) in n 7.436 * [taylor]: Taking taylor expansion of PI in n 7.436 * [backup-simplify]: Simplify PI into PI 7.437 * [backup-simplify]: Simplify (log PI) into (log PI) 7.438 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 7.439 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 7.439 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 7.439 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.439 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.439 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.439 * [taylor]: Taking taylor expansion of 1.0 in n 7.440 * [backup-simplify]: Simplify 1.0 into 1.0 7.440 * [taylor]: Taking taylor expansion of (log n) in n 7.440 * [taylor]: Taking taylor expansion of n in n 7.440 * [backup-simplify]: Simplify 0 into 0 7.440 * [backup-simplify]: Simplify 1 into 1 7.440 * [backup-simplify]: Simplify (log 1) into 0 7.441 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.441 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 7.441 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 7.441 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.441 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.441 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.441 * [taylor]: Taking taylor expansion of 1.0 in n 7.441 * [backup-simplify]: Simplify 1.0 into 1.0 7.441 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.441 * [taylor]: Taking taylor expansion of 2.0 in n 7.441 * [backup-simplify]: Simplify 2.0 into 2.0 7.441 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 7.442 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 7.444 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 7.445 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 7.446 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 7.447 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 7.449 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 7.450 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 7.451 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.454 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 7.457 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 7.459 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) 7.460 * [backup-simplify]: Simplify (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))) into (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))) 7.464 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 7.471 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) 7.477 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) 7.479 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 7.480 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 7.481 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 7.487 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 7.488 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.488 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 7.489 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 7.490 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 7.492 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 7.493 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 7.495 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 7.496 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 7.499 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 7.501 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 7.503 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.506 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5))) into 0 7.506 * [backup-simplify]: Simplify (- 0) into 0 7.506 * [backup-simplify]: Simplify 0 into 0 7.506 * [backup-simplify]: Simplify 0 into 0 7.507 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.511 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.512 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 7.513 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 (* n PI))))) into 0 7.517 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 (* n PI)) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 (* n PI)) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 (* n PI)) 1)))) 6) into 0 7.517 * [backup-simplify]: Simplify (- 0) into 0 7.517 * [backup-simplify]: Simplify (+ 0 0) into 0 7.519 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 -1) (* 0 1.0)))) into 0 7.520 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (+ (* 0 0) (* 0 (log (* 2.0 (* n PI))))))) into 0 7.522 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* 2.0 (* n PI))))) (+ (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 3) 6)) (* (/ (pow (- (* 0.5 (log (* 2.0 (* n PI))))) 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 7.528 * [backup-simplify]: Simplify (+ (* (pow (* 2.0 (* n PI)) 0.5) +nan.0) (+ (* (* -0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) +nan.0) (+ (* (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) +nan.0) (* (* -0.020833333333333332 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 3))) 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 7.539 * [backup-simplify]: Simplify (+ (* 1.0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))))) (+ (* 0 (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))) (+ (* 0 (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))) (* 0 0)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) 7.539 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))))) in n 7.540 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))))) in n 7.540 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI))))) in n 7.540 * [taylor]: Taking taylor expansion of +nan.0 in n 7.540 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.540 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 (* n PI)))) in n 7.540 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 7.540 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 7.540 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 7.540 * [taylor]: Taking taylor expansion of 0.5 in n 7.540 * [backup-simplify]: Simplify 0.5 into 0.5 7.540 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 7.540 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 7.540 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.540 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.540 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.540 * [taylor]: Taking taylor expansion of 1.0 in n 7.540 * [backup-simplify]: Simplify 1.0 into 1.0 7.540 * [taylor]: Taking taylor expansion of (log PI) in n 7.540 * [taylor]: Taking taylor expansion of PI in n 7.540 * [backup-simplify]: Simplify PI into PI 7.541 * [backup-simplify]: Simplify (log PI) into (log PI) 7.542 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 7.543 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 7.544 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 7.544 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.544 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.544 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.544 * [taylor]: Taking taylor expansion of 1.0 in n 7.544 * [backup-simplify]: Simplify 1.0 into 1.0 7.544 * [taylor]: Taking taylor expansion of (log n) in n 7.544 * [taylor]: Taking taylor expansion of n in n 7.544 * [backup-simplify]: Simplify 0 into 0 7.544 * [backup-simplify]: Simplify 1 into 1 7.544 * [backup-simplify]: Simplify (log 1) into 0 7.545 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.545 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 7.545 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 7.545 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.545 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.545 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.545 * [taylor]: Taking taylor expansion of 1.0 in n 7.545 * [backup-simplify]: Simplify 1.0 into 1.0 7.545 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.545 * [taylor]: Taking taylor expansion of 2.0 in n 7.545 * [backup-simplify]: Simplify 2.0 into 2.0 7.546 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 7.546 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 7.548 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 7.549 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 7.550 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 7.551 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 7.553 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 7.554 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 7.554 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.554 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.554 * [taylor]: Taking taylor expansion of 2.0 in n 7.554 * [backup-simplify]: Simplify 2.0 into 2.0 7.555 * [taylor]: Taking taylor expansion of (* n PI) in n 7.555 * [taylor]: Taking taylor expansion of n in n 7.555 * [backup-simplify]: Simplify 0 into 0 7.555 * [backup-simplify]: Simplify 1 into 1 7.555 * [taylor]: Taking taylor expansion of PI in n 7.555 * [backup-simplify]: Simplify PI into PI 7.556 * [backup-simplify]: Simplify (* 0 PI) into 0 7.556 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.558 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.559 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.560 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.561 * [taylor]: Taking taylor expansion of (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))))) in n 7.561 * [taylor]: Taking taylor expansion of (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))))) in n 7.561 * [taylor]: Taking taylor expansion of (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) in n 7.561 * [taylor]: Taking taylor expansion of +nan.0 in n 7.561 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.561 * [taylor]: Taking taylor expansion of (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) in n 7.561 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))))) in n 7.561 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))))) in n 7.561 * [taylor]: Taking taylor expansion of 0.5 in n 7.561 * [backup-simplify]: Simplify 0.5 into 0.5 7.561 * [taylor]: Taking taylor expansion of (log (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0)))) in n 7.561 * [taylor]: Taking taylor expansion of (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) in n 7.561 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.561 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.561 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.561 * [taylor]: Taking taylor expansion of 1.0 in n 7.561 * [backup-simplify]: Simplify 1.0 into 1.0 7.561 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.561 * [taylor]: Taking taylor expansion of 2.0 in n 7.561 * [backup-simplify]: Simplify 2.0 into 2.0 7.562 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 7.563 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 7.564 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 7.564 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow PI 1.0)) in n 7.564 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.564 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.564 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.564 * [taylor]: Taking taylor expansion of 1.0 in n 7.564 * [backup-simplify]: Simplify 1.0 into 1.0 7.564 * [taylor]: Taking taylor expansion of (log n) in n 7.564 * [taylor]: Taking taylor expansion of n in n 7.564 * [backup-simplify]: Simplify 0 into 0 7.564 * [backup-simplify]: Simplify 1 into 1 7.565 * [backup-simplify]: Simplify (log 1) into 0 7.565 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.565 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 7.565 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 7.565 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.566 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.566 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.566 * [taylor]: Taking taylor expansion of 1.0 in n 7.566 * [backup-simplify]: Simplify 1.0 into 1.0 7.566 * [taylor]: Taking taylor expansion of (log PI) in n 7.566 * [taylor]: Taking taylor expansion of PI in n 7.566 * [backup-simplify]: Simplify PI into PI 7.566 * [backup-simplify]: Simplify (log PI) into (log PI) 7.567 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 7.569 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 7.570 * [backup-simplify]: Simplify (* (pow n 1.0) (pow PI 1.0)) into (pow (* (pow n 1.0) (pow PI 1.0)) 1.0) 7.571 * [backup-simplify]: Simplify (* (pow 2.0 1.0) (pow (* (pow n 1.0) (pow PI 1.0)) 1.0)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 7.572 * [backup-simplify]: Simplify (log (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0)) into (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0)) 7.573 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0))) 7.575 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 7.575 * [taylor]: Taking taylor expansion of (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)))) in n 7.575 * [taylor]: Taking taylor expansion of (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2))) in n 7.575 * [taylor]: Taking taylor expansion of +nan.0 in n 7.575 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.575 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 (* n PI))) 2)) in n 7.575 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 7.575 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 7.575 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 7.575 * [taylor]: Taking taylor expansion of 0.5 in n 7.575 * [backup-simplify]: Simplify 0.5 into 0.5 7.575 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 7.576 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 7.576 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 7.576 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 7.576 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 7.576 * [taylor]: Taking taylor expansion of 1.0 in n 7.576 * [backup-simplify]: Simplify 1.0 into 1.0 7.576 * [taylor]: Taking taylor expansion of (log PI) in n 7.576 * [taylor]: Taking taylor expansion of PI in n 7.576 * [backup-simplify]: Simplify PI into PI 7.576 * [backup-simplify]: Simplify (log PI) into (log PI) 7.577 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 7.579 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 7.579 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 7.579 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 7.579 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 7.579 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 7.579 * [taylor]: Taking taylor expansion of 1.0 in n 7.579 * [backup-simplify]: Simplify 1.0 into 1.0 7.579 * [taylor]: Taking taylor expansion of (log n) in n 7.579 * [taylor]: Taking taylor expansion of n in n 7.579 * [backup-simplify]: Simplify 0 into 0 7.579 * [backup-simplify]: Simplify 1 into 1 7.580 * [backup-simplify]: Simplify (log 1) into 0 7.580 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 7.580 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 7.580 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 7.580 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 7.580 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 7.581 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 7.581 * [taylor]: Taking taylor expansion of 1.0 in n 7.581 * [backup-simplify]: Simplify 1.0 into 1.0 7.581 * [taylor]: Taking taylor expansion of (log 2.0) in n 7.581 * [taylor]: Taking taylor expansion of 2.0 in n 7.581 * [backup-simplify]: Simplify 2.0 into 2.0 7.581 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 7.582 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 7.584 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 7.584 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 7.586 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 7.587 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 7.588 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 7.590 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 7.590 * [taylor]: Taking taylor expansion of (pow (log (* 2.0 (* n PI))) 2) in n 7.590 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 7.590 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 7.590 * [taylor]: Taking taylor expansion of 2.0 in n 7.590 * [backup-simplify]: Simplify 2.0 into 2.0 7.590 * [taylor]: Taking taylor expansion of (* n PI) in n 7.590 * [taylor]: Taking taylor expansion of n in n 7.590 * [backup-simplify]: Simplify 0 into 0 7.590 * [backup-simplify]: Simplify 1 into 1 7.590 * [taylor]: Taking taylor expansion of PI in n 7.590 * [backup-simplify]: Simplify PI into PI 7.591 * [backup-simplify]: Simplify (* 0 PI) into 0 7.591 * [backup-simplify]: Simplify (* 2.0 0) into 0 7.593 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 7.595 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 7.596 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.598 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.599 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.602 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log (* 2.0 PI)) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n))) 7.604 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) 7.606 * [backup-simplify]: Simplify (* +nan.0 (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5)) into (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) 7.608 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.609 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 7.611 * [backup-simplify]: Simplify (* (+ (log (* 2.0 PI)) (log n)) (+ (log (* 2.0 PI)) (log n))) into (pow (+ (log (* 2.0 PI)) (log n)) 2) 7.614 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)) 7.617 * [backup-simplify]: Simplify (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) into (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2))) 7.621 * [backup-simplify]: Simplify (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log (* 2.0 PI)) (log n)) 2)))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))))) 7.630 * [backup-simplify]: Simplify (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))))))) 7.637 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)))))))))) into (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2)))))))))) 7.647 * [backup-simplify]: Simplify (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 7.657 * [backup-simplify]: Simplify (- (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) 7.672 * [backup-simplify]: Simplify (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (log n)))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))))))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) 7.690 * [backup-simplify]: Simplify (+ (* (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log (* 2.0 PI)) 2))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5)) (- (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (log n))))))))))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* 2.0 PI)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (- (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5))))))) (* 1 k)) (- (* +nan.0 (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5))))) into (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) 7.690 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 k))) (pow (* 2.0 (* (/ 1 n) PI)) (/ (- 1.0 (/ 1 k)) 2.0))) into (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) 7.690 * [approximate]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in (k n) around 0 7.690 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in n 7.690 * [taylor]: Taking taylor expansion of 1.0 in n 7.690 * [backup-simplify]: Simplify 1.0 into 1.0 7.690 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in n 7.690 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 7.690 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 7.690 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 7.690 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 7.690 * [taylor]: Taking taylor expansion of 0.5 in n 7.690 * [backup-simplify]: Simplify 0.5 into 0.5 7.690 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.690 * [taylor]: Taking taylor expansion of 1.0 in n 7.690 * [backup-simplify]: Simplify 1.0 into 1.0 7.690 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.690 * [taylor]: Taking taylor expansion of k in n 7.690 * [backup-simplify]: Simplify k into k 7.690 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.690 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.690 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.690 * [taylor]: Taking taylor expansion of 2.0 in n 7.690 * [backup-simplify]: Simplify 2.0 into 2.0 7.690 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.690 * [taylor]: Taking taylor expansion of PI in n 7.690 * [backup-simplify]: Simplify PI into PI 7.690 * [taylor]: Taking taylor expansion of n in n 7.690 * [backup-simplify]: Simplify 0 into 0 7.690 * [backup-simplify]: Simplify 1 into 1 7.691 * [backup-simplify]: Simplify (/ PI 1) into PI 7.691 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.692 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.692 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.692 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.692 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 7.693 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.694 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 7.695 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 7.695 * [taylor]: Taking taylor expansion of (sqrt k) in n 7.695 * [taylor]: Taking taylor expansion of k in n 7.695 * [backup-simplify]: Simplify k into k 7.695 * [backup-simplify]: Simplify (sqrt k) into (sqrt k) 7.695 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt k))) into 0 7.695 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 7.695 * [taylor]: Taking taylor expansion of 1.0 in k 7.695 * [backup-simplify]: Simplify 1.0 into 1.0 7.695 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 7.695 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.695 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 7.695 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 7.695 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.695 * [taylor]: Taking taylor expansion of 0.5 in k 7.695 * [backup-simplify]: Simplify 0.5 into 0.5 7.695 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.695 * [taylor]: Taking taylor expansion of 1.0 in k 7.695 * [backup-simplify]: Simplify 1.0 into 1.0 7.695 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.695 * [taylor]: Taking taylor expansion of k in k 7.695 * [backup-simplify]: Simplify 0 into 0 7.695 * [backup-simplify]: Simplify 1 into 1 7.695 * [backup-simplify]: Simplify (/ 1 1) into 1 7.695 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 7.695 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 7.695 * [taylor]: Taking taylor expansion of 2.0 in k 7.695 * [backup-simplify]: Simplify 2.0 into 2.0 7.695 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.695 * [taylor]: Taking taylor expansion of PI in k 7.695 * [backup-simplify]: Simplify PI into PI 7.695 * [taylor]: Taking taylor expansion of n in k 7.695 * [backup-simplify]: Simplify n into n 7.696 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 7.696 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 7.696 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 7.696 * [backup-simplify]: Simplify (- 1) into -1 7.696 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.696 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.697 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 7.697 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 7.697 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.697 * [taylor]: Taking taylor expansion of k in k 7.697 * [backup-simplify]: Simplify 0 into 0 7.697 * [backup-simplify]: Simplify 1 into 1 7.697 * [backup-simplify]: Simplify (sqrt 0) into 0 7.698 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.698 * [taylor]: Taking taylor expansion of (* 1.0 (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k))) in k 7.698 * [taylor]: Taking taylor expansion of 1.0 in k 7.698 * [backup-simplify]: Simplify 1.0 into 1.0 7.698 * [taylor]: Taking taylor expansion of (* (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) (sqrt k)) in k 7.698 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 7.698 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 7.698 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 7.698 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 7.698 * [taylor]: Taking taylor expansion of 0.5 in k 7.698 * [backup-simplify]: Simplify 0.5 into 0.5 7.698 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 7.698 * [taylor]: Taking taylor expansion of 1.0 in k 7.698 * [backup-simplify]: Simplify 1.0 into 1.0 7.698 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.698 * [taylor]: Taking taylor expansion of k in k 7.698 * [backup-simplify]: Simplify 0 into 0 7.698 * [backup-simplify]: Simplify 1 into 1 7.699 * [backup-simplify]: Simplify (/ 1 1) into 1 7.699 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 7.699 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 7.699 * [taylor]: Taking taylor expansion of 2.0 in k 7.699 * [backup-simplify]: Simplify 2.0 into 2.0 7.699 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.699 * [taylor]: Taking taylor expansion of PI in k 7.699 * [backup-simplify]: Simplify PI into PI 7.699 * [taylor]: Taking taylor expansion of n in k 7.699 * [backup-simplify]: Simplify n into n 7.699 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 7.699 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 7.699 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 7.699 * [backup-simplify]: Simplify (- 1) into -1 7.699 * [backup-simplify]: Simplify (+ 0 -1) into -1 7.700 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 7.700 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 7.700 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 7.700 * [taylor]: Taking taylor expansion of (sqrt k) in k 7.700 * [taylor]: Taking taylor expansion of k in k 7.700 * [backup-simplify]: Simplify 0 into 0 7.700 * [backup-simplify]: Simplify 1 into 1 7.700 * [backup-simplify]: Simplify (sqrt 0) into 0 7.701 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 7.701 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 0) into 0 7.702 * [backup-simplify]: Simplify (* 1.0 0) into 0 7.702 * [taylor]: Taking taylor expansion of 0 in n 7.702 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify 0 into 0 7.702 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 7.702 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 7.703 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 7.703 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 7.703 * [taylor]: Taking taylor expansion of +nan.0 in n 7.703 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.703 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 7.703 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 7.703 * [taylor]: Taking taylor expansion of 0.5 in n 7.703 * [backup-simplify]: Simplify 0.5 into 0.5 7.703 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 7.703 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.703 * [taylor]: Taking taylor expansion of 1.0 in n 7.703 * [backup-simplify]: Simplify 1.0 into 1.0 7.703 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.703 * [taylor]: Taking taylor expansion of k in n 7.703 * [backup-simplify]: Simplify k into k 7.703 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.703 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.703 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.703 * [taylor]: Taking taylor expansion of 2.0 in n 7.703 * [backup-simplify]: Simplify 2.0 into 2.0 7.703 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.703 * [taylor]: Taking taylor expansion of PI in n 7.703 * [backup-simplify]: Simplify PI into PI 7.703 * [taylor]: Taking taylor expansion of n in n 7.703 * [backup-simplify]: Simplify 0 into 0 7.703 * [backup-simplify]: Simplify 1 into 1 7.703 * [backup-simplify]: Simplify (/ PI 1) into PI 7.704 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.704 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.704 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.704 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.705 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.706 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 7.707 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 7.708 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 7.708 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 7.709 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 7.710 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 7.710 * [backup-simplify]: Simplify 0 into 0 7.712 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.713 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 7.713 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 7.714 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 7.714 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 7.714 * [taylor]: Taking taylor expansion of +nan.0 in n 7.714 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.714 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 7.714 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 7.714 * [taylor]: Taking taylor expansion of 0.5 in n 7.714 * [backup-simplify]: Simplify 0.5 into 0.5 7.714 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 7.714 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.714 * [taylor]: Taking taylor expansion of 1.0 in n 7.714 * [backup-simplify]: Simplify 1.0 into 1.0 7.714 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.714 * [taylor]: Taking taylor expansion of k in n 7.714 * [backup-simplify]: Simplify k into k 7.714 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.714 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.714 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.714 * [taylor]: Taking taylor expansion of 2.0 in n 7.714 * [backup-simplify]: Simplify 2.0 into 2.0 7.714 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.714 * [taylor]: Taking taylor expansion of PI in n 7.714 * [backup-simplify]: Simplify PI into PI 7.714 * [taylor]: Taking taylor expansion of n in n 7.714 * [backup-simplify]: Simplify 0 into 0 7.714 * [backup-simplify]: Simplify 1 into 1 7.715 * [backup-simplify]: Simplify (/ PI 1) into PI 7.715 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.717 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.717 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.717 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.718 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.719 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 7.721 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 7.722 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 7.723 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 7.725 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 7.726 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 7.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.728 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 7.730 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 7.730 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.730 * [backup-simplify]: Simplify (- 0) into 0 7.731 * [backup-simplify]: Simplify (+ 0 0) into 0 7.732 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.734 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 7.735 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into 0 7.738 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 7.740 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into 0 7.740 * [backup-simplify]: Simplify (- 0) into 0 7.740 * [backup-simplify]: Simplify 0 into 0 7.740 * [backup-simplify]: Simplify 0 into 0 7.744 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.745 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 7.747 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))))) (* 0 0)))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) 7.747 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))))) in n 7.747 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))))) in n 7.747 * [taylor]: Taking taylor expansion of +nan.0 in n 7.747 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.747 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) in n 7.747 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n))))) in n 7.747 * [taylor]: Taking taylor expansion of 0.5 in n 7.747 * [backup-simplify]: Simplify 0.5 into 0.5 7.747 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))) in n 7.747 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 7.747 * [taylor]: Taking taylor expansion of 1.0 in n 7.747 * [backup-simplify]: Simplify 1.0 into 1.0 7.747 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.747 * [taylor]: Taking taylor expansion of k in n 7.747 * [backup-simplify]: Simplify k into k 7.747 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.748 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 7.748 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 7.748 * [taylor]: Taking taylor expansion of 2.0 in n 7.748 * [backup-simplify]: Simplify 2.0 into 2.0 7.748 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.748 * [taylor]: Taking taylor expansion of PI in n 7.748 * [backup-simplify]: Simplify PI into PI 7.748 * [taylor]: Taking taylor expansion of n in n 7.748 * [backup-simplify]: Simplify 0 into 0 7.748 * [backup-simplify]: Simplify 1 into 1 7.748 * [backup-simplify]: Simplify (/ PI 1) into PI 7.749 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 7.750 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 7.750 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 7.750 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 7.755 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 7.757 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) into (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) 7.758 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 7.760 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 7.761 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) into (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))))) 7.762 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 7.764 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) into (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))))) 7.769 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 3)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (pow (* 1 (/ 1 k)) 2)) (* (- (* +nan.0 (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))))) (* 1 (/ 1 k))))) into (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) 7.769 * [backup-simplify]: Simplify (* (/ 1.0 (sqrt (/ 1 (- k)))) (pow (* 2.0 (* (/ 1 (- n)) PI)) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) 7.769 * [approximate]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in (k n) around 0 7.769 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in n 7.769 * [taylor]: Taking taylor expansion of 1.0 in n 7.769 * [backup-simplify]: Simplify 1.0 into 1.0 7.770 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in n 7.770 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 7.770 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 7.770 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 7.770 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 7.770 * [taylor]: Taking taylor expansion of 0.5 in n 7.770 * [backup-simplify]: Simplify 0.5 into 0.5 7.770 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.770 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.770 * [taylor]: Taking taylor expansion of k in n 7.770 * [backup-simplify]: Simplify k into k 7.770 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.770 * [taylor]: Taking taylor expansion of 1.0 in n 7.770 * [backup-simplify]: Simplify 1.0 into 1.0 7.770 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.770 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.770 * [taylor]: Taking taylor expansion of -2.0 in n 7.770 * [backup-simplify]: Simplify -2.0 into -2.0 7.770 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.770 * [taylor]: Taking taylor expansion of PI in n 7.770 * [backup-simplify]: Simplify PI into PI 7.770 * [taylor]: Taking taylor expansion of n in n 7.770 * [backup-simplify]: Simplify 0 into 0 7.770 * [backup-simplify]: Simplify 1 into 1 7.771 * [backup-simplify]: Simplify (/ PI 1) into PI 7.771 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.773 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.773 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.773 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 7.774 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.776 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 7.777 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 7.777 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in n 7.777 * [taylor]: Taking taylor expansion of (/ -1 k) in n 7.777 * [taylor]: Taking taylor expansion of -1 in n 7.777 * [backup-simplify]: Simplify -1 into -1 7.777 * [taylor]: Taking taylor expansion of k in n 7.777 * [backup-simplify]: Simplify k into k 7.777 * [backup-simplify]: Simplify (/ -1 k) into (/ -1 k) 7.777 * [backup-simplify]: Simplify (sqrt (/ -1 k)) into (sqrt (/ -1 k)) 7.777 * [backup-simplify]: Simplify (- (/ 0 k) (+ (* (/ -1 k) (/ 0 k)))) into 0 7.777 * [backup-simplify]: Simplify (/ 0 (* 2 (sqrt (/ -1 k)))) into 0 7.779 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) into (/ (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (sqrt (/ -1 k))) 7.779 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 7.779 * [taylor]: Taking taylor expansion of 1.0 in k 7.779 * [backup-simplify]: Simplify 1.0 into 1.0 7.779 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 7.779 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.779 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 7.779 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 7.779 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.779 * [taylor]: Taking taylor expansion of 0.5 in k 7.779 * [backup-simplify]: Simplify 0.5 into 0.5 7.779 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.779 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.779 * [taylor]: Taking taylor expansion of k in k 7.779 * [backup-simplify]: Simplify 0 into 0 7.779 * [backup-simplify]: Simplify 1 into 1 7.780 * [backup-simplify]: Simplify (/ 1 1) into 1 7.780 * [taylor]: Taking taylor expansion of 1.0 in k 7.780 * [backup-simplify]: Simplify 1.0 into 1.0 7.780 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 7.780 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 7.780 * [taylor]: Taking taylor expansion of -2.0 in k 7.780 * [backup-simplify]: Simplify -2.0 into -2.0 7.780 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.780 * [taylor]: Taking taylor expansion of PI in k 7.780 * [backup-simplify]: Simplify PI into PI 7.780 * [taylor]: Taking taylor expansion of n in k 7.780 * [backup-simplify]: Simplify n into n 7.780 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 7.780 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 7.780 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 7.781 * [backup-simplify]: Simplify (+ 1 0) into 1 7.781 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.781 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 7.782 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 7.782 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.782 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.782 * [taylor]: Taking taylor expansion of -1 in k 7.782 * [backup-simplify]: Simplify -1 into -1 7.782 * [taylor]: Taking taylor expansion of k in k 7.782 * [backup-simplify]: Simplify 0 into 0 7.782 * [backup-simplify]: Simplify 1 into 1 7.782 * [backup-simplify]: Simplify (/ -1 1) into -1 7.783 * [backup-simplify]: Simplify (sqrt 0) into 0 7.784 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.784 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 7.784 * [taylor]: Taking taylor expansion of (* 1.0 (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k)))) in k 7.784 * [taylor]: Taking taylor expansion of 1.0 in k 7.784 * [backup-simplify]: Simplify 1.0 into 1.0 7.784 * [taylor]: Taking taylor expansion of (/ (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (sqrt (/ -1 k))) in k 7.784 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 7.785 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 7.785 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 7.785 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 7.785 * [taylor]: Taking taylor expansion of 0.5 in k 7.785 * [backup-simplify]: Simplify 0.5 into 0.5 7.785 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 7.785 * [taylor]: Taking taylor expansion of (/ 1 k) in k 7.785 * [taylor]: Taking taylor expansion of k in k 7.785 * [backup-simplify]: Simplify 0 into 0 7.785 * [backup-simplify]: Simplify 1 into 1 7.785 * [backup-simplify]: Simplify (/ 1 1) into 1 7.785 * [taylor]: Taking taylor expansion of 1.0 in k 7.785 * [backup-simplify]: Simplify 1.0 into 1.0 7.785 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 7.785 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 7.785 * [taylor]: Taking taylor expansion of -2.0 in k 7.785 * [backup-simplify]: Simplify -2.0 into -2.0 7.785 * [taylor]: Taking taylor expansion of (/ PI n) in k 7.786 * [taylor]: Taking taylor expansion of PI in k 7.786 * [backup-simplify]: Simplify PI into PI 7.786 * [taylor]: Taking taylor expansion of n in k 7.786 * [backup-simplify]: Simplify n into n 7.786 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 7.786 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 7.786 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 7.787 * [backup-simplify]: Simplify (+ 1 0) into 1 7.787 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 7.787 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 7.787 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 7.788 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 7.788 * [taylor]: Taking taylor expansion of (/ -1 k) in k 7.788 * [taylor]: Taking taylor expansion of -1 in k 7.788 * [backup-simplify]: Simplify -1 into -1 7.788 * [taylor]: Taking taylor expansion of k in k 7.788 * [backup-simplify]: Simplify 0 into 0 7.788 * [backup-simplify]: Simplify 1 into 1 7.788 * [backup-simplify]: Simplify (/ -1 1) into -1 7.789 * [backup-simplify]: Simplify (sqrt 0) into 0 7.790 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 7.790 * [backup-simplify]: Simplify (/ (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) +nan.0) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 7.791 * [backup-simplify]: Simplify (* 1.0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) into (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) 7.791 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 7.791 * [taylor]: Taking taylor expansion of +nan.0 in n 7.791 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.791 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 7.791 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 7.791 * [taylor]: Taking taylor expansion of 0.5 in n 7.791 * [backup-simplify]: Simplify 0.5 into 0.5 7.791 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 7.791 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.791 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.791 * [taylor]: Taking taylor expansion of -2.0 in n 7.791 * [backup-simplify]: Simplify -2.0 into -2.0 7.791 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.791 * [taylor]: Taking taylor expansion of PI in n 7.792 * [backup-simplify]: Simplify PI into PI 7.792 * [taylor]: Taking taylor expansion of n in n 7.792 * [backup-simplify]: Simplify 0 into 0 7.792 * [backup-simplify]: Simplify 1 into 1 7.792 * [backup-simplify]: Simplify (/ PI 1) into PI 7.793 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.794 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.794 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.794 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.794 * [taylor]: Taking taylor expansion of k in n 7.794 * [backup-simplify]: Simplify k into k 7.794 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.794 * [taylor]: Taking taylor expansion of 1.0 in n 7.794 * [backup-simplify]: Simplify 1.0 into 1.0 7.796 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.796 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.797 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 7.798 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 7.800 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 7.801 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 7.803 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 7.804 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 7.807 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 7.808 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 7.808 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 7.808 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 7.809 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 7.809 * [taylor]: Taking taylor expansion of +nan.0 in n 7.809 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.809 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 7.809 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 7.809 * [taylor]: Taking taylor expansion of 0.5 in n 7.809 * [backup-simplify]: Simplify 0.5 into 0.5 7.809 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 7.809 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.809 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.809 * [taylor]: Taking taylor expansion of -2.0 in n 7.809 * [backup-simplify]: Simplify -2.0 into -2.0 7.809 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.809 * [taylor]: Taking taylor expansion of PI in n 7.809 * [backup-simplify]: Simplify PI into PI 7.809 * [taylor]: Taking taylor expansion of n in n 7.809 * [backup-simplify]: Simplify 0 into 0 7.809 * [backup-simplify]: Simplify 1 into 1 7.809 * [backup-simplify]: Simplify (/ PI 1) into PI 7.810 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.811 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.811 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.811 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.811 * [taylor]: Taking taylor expansion of k in n 7.811 * [backup-simplify]: Simplify k into k 7.811 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.811 * [taylor]: Taking taylor expansion of 1.0 in n 7.811 * [backup-simplify]: Simplify 1.0 into 1.0 7.813 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.813 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.814 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 7.815 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 7.817 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 7.818 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 7.819 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 7.821 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 7.822 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.822 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 7.823 * [backup-simplify]: Simplify (+ 0 0) into 0 7.824 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 7.825 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 7.826 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 7.826 * [backup-simplify]: Simplify (+ (* (- (log (* -2.0 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 7.827 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into 0 7.829 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 7.830 * [backup-simplify]: Simplify (+ (* +nan.0 0) (* 0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into 0 7.830 * [backup-simplify]: Simplify 0 into 0 7.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 7.832 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 7.834 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) (/ +nan.0 +nan.0)) (* (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) (/ +nan.0 +nan.0)))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 7.834 * [backup-simplify]: Simplify (+ (* 1.0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (+ (* 0 (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))))) (* 0 (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))))) into (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) 7.834 * [taylor]: Taking taylor expansion of (- (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))))) in n 7.834 * [taylor]: Taking taylor expansion of (* +nan.0 (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))))) in n 7.834 * [taylor]: Taking taylor expansion of +nan.0 in n 7.834 * [backup-simplify]: Simplify +nan.0 into +nan.0 7.834 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 7.834 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0))) in n 7.834 * [taylor]: Taking taylor expansion of 0.5 in n 7.834 * [backup-simplify]: Simplify 0.5 into 0.5 7.834 * [taylor]: Taking taylor expansion of (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)) in n 7.834 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 7.834 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 7.834 * [taylor]: Taking taylor expansion of -2.0 in n 7.834 * [backup-simplify]: Simplify -2.0 into -2.0 7.834 * [taylor]: Taking taylor expansion of (/ PI n) in n 7.834 * [taylor]: Taking taylor expansion of PI in n 7.834 * [backup-simplify]: Simplify PI into PI 7.834 * [taylor]: Taking taylor expansion of n in n 7.834 * [backup-simplify]: Simplify 0 into 0 7.834 * [backup-simplify]: Simplify 1 into 1 7.835 * [backup-simplify]: Simplify (/ PI 1) into PI 7.835 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 7.836 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 7.836 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 7.836 * [taylor]: Taking taylor expansion of (/ 1 k) in n 7.836 * [taylor]: Taking taylor expansion of k in n 7.836 * [backup-simplify]: Simplify k into k 7.836 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 7.836 * [taylor]: Taking taylor expansion of 1.0 in n 7.836 * [backup-simplify]: Simplify 1.0 into 1.0 7.837 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 7.837 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 7.838 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) 7.839 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 7.839 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 7.840 * [backup-simplify]: Simplify (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))))) 7.841 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 7.842 * [backup-simplify]: Simplify (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) into (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))))) 7.844 * [backup-simplify]: Simplify (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (pow (* 1 (/ 1 (- k))) 2)) (+ (* (- (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))))) (* 1 (/ 1 (- k)))) (* +nan.0 (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))))) into (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 7.844 * * * [progress]: simplifying candidates 7.847 * [simplify]: Simplifying: (* (+ (log 2.0) (+ (log n) (log PI))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (log (* n PI))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* n PI)) (/ 1.0 2.0)) (pow (* 2.0 (* n PI)) (/ k 2.0)) (pow (* 2.0 (* n PI)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* n PI)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 (* n PI)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 (* n PI)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* n PI)) (/ 1 1)) (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 (* n PI)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* n PI)) (/ 1 1)) (pow (* 2.0 (* n PI)) 1) (pow (* 2.0 (* n PI)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2)) (* n PI) (+ (log n) (log PI)) (log (* n PI)) (exp (* n PI)) (* (* (* n n) n) (* (* PI PI) PI)) (* (cbrt (* n PI)) (cbrt (* n PI))) (cbrt (* n PI)) (* (* (* n PI) (* n PI)) (* n PI)) (sqrt (* n PI)) (sqrt (* n PI)) (* (sqrt n) (sqrt PI)) (* (sqrt n) (sqrt PI)) (* n (* (cbrt PI) (cbrt PI))) (* n (sqrt PI)) (* n 1) (* (cbrt n) PI) (* (sqrt n) PI) (* n PI) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (+ (log n) (log PI))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (+ (log 2.0) (log (* n PI))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0))) (+ (- (log 1.0) (log (sqrt k))) (log (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (+ (log n) (log PI))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (+ (log 2.0) (log (* n PI))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0))) (+ (log (/ 1.0 (sqrt k))) (log (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (log (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (exp (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (/ 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k) (pow (* 2.0 (* n PI)) (/ k 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (* (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))))) (* (/ 1.0 (sqrt k)) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (* (/ 1.0 (sqrt k)) 1) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (/ (/ (- 1.0 k) 2.0) 2))) (* (cbrt (/ 1.0 (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (sqrt k)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (cbrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (cbrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ 1 (sqrt k)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (sqrt k)) (pow (* 2.0 (* n PI)) (/ 1.0 2.0))) (* 1.0 (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* n PI) (* n PI) (* n PI) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) k)) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow k 2))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (pow k 2)))) (- (+ (* +nan.0 (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5)) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log (* 2.0 PI)) 2) (pow k 2)))) (- (+ (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* 2.0 PI)) (* (log n) (pow k 2))))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k))) (- (+ (* +nan.0 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log (* 2.0 PI)) (pow k 2)))) (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow (log n) 2) (pow k 2))))))))))))))))))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 2))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (pow k 3)))))))) (- (+ (* +nan.0 (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n))))))) (- (+ (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) k)) (- (* +nan.0 (/ (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (pow k 2)))))))) 7.850 * * [simplify]: iteration 0: 352 enodes 7.957 * * [simplify]: iteration 1: 961 enodes 8.472 * * [simplify]: iteration 2: 4063 enodes 9.385 * * [simplify]: iteration complete: 5000 enodes 9.386 * * [simplify]: Extracting #0: cost 122 inf + 0 9.389 * * [simplify]: Extracting #1: cost 801 inf + 3 9.397 * * [simplify]: Extracting #2: cost 1248 inf + 5228 9.407 * * [simplify]: Extracting #3: cost 1355 inf + 42209 9.443 * * [simplify]: Extracting #4: cost 815 inf + 224942 9.508 * * [simplify]: Extracting #5: cost 447 inf + 414677 9.596 * * [simplify]: Extracting #6: cost 357 inf + 496169 9.716 * * [simplify]: Extracting #7: cost 159 inf + 679602 9.869 * * [simplify]: Extracting #8: cost 40 inf + 791242 10.029 * * [simplify]: Extracting #9: cost 12 inf + 821668 10.203 * * [simplify]: Extracting #10: cost 0 inf + 839266 10.349 * * [simplify]: Extracting #11: cost 0 inf + 838716 10.546 * * [simplify]: Extracting #12: cost 0 inf + 838676 10.719 * [simplify]: Simplified to: (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* 2.0 (* n PI)) (/ 1.0 2.0)) (pow (* 2.0 (* n PI)) (/ k 2.0)) (pow (* 2.0 (* n PI)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* n PI)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* n PI)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* 2.0 (* n PI)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* n PI)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* 2.0 (* n PI)) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* n PI)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (sqrt (- 1.0 k))) (pow (* 2.0 (* n PI)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* n PI)) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (pow (* 2.0 (* n PI)) (/ (/ (+ (sqrt k) (sqrt 1.0)) (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* n PI)) (/ (+ (sqrt k) (sqrt 1.0)) (sqrt 2.0))) (pow (* 2.0 (* n PI)) (+ (sqrt k) (sqrt 1.0))) (pow (* 2.0 (* n PI)) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* 2.0 (* n PI)) (/ 1 (sqrt 2.0))) (* 2.0 (* n PI)) (* 2.0 (* n PI)) (exp (* (log (* 2.0 (* n PI))) (- 1.0 k))) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* PI n) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (exp (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) (* 2.0 2))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) (* 2.0 2))) (* PI n) (log (* PI n)) (log (* PI n)) (exp (* PI n)) (* (* PI n) (* (* PI n) (* PI n))) (* (cbrt (* PI n)) (cbrt (* PI n))) (cbrt (* PI n)) (* (* PI n) (* (* PI n) (* PI n))) (sqrt (* PI n)) (sqrt (* PI n)) (* (sqrt n) (sqrt PI)) (* (sqrt n) (sqrt PI)) (* (* (cbrt PI) (cbrt PI)) n) (* (sqrt PI) n) n (* PI (cbrt n)) (* (sqrt n) PI) (* PI n) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (/ (* 1.0 1.0) k) 1.0) (sqrt k)) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (/ 1.0 (sqrt k)) (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k)))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (fabs (cbrt k))) (/ (cbrt 1.0) (sqrt (cbrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (/ (sqrt 1.0) (cbrt (sqrt k))) (cbrt (sqrt k))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ (/ 1.0 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (+ (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (log (/ 1.0 (sqrt k)))) (+ (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (log (/ 1.0 (sqrt k)))) (+ (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (log (/ 1.0 (sqrt k)))) (+ (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (log (/ 1.0 (sqrt k)))) (+ (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (log (/ 1.0 (sqrt k)))) (+ (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (log (/ 1.0 (sqrt k)))) (+ (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (log (/ 1.0 (sqrt k)))) (+ (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (log (/ 1.0 (sqrt k)))) (+ (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (log (/ 1.0 (sqrt k)))) (+ (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (log (/ 1.0 (sqrt k)))) (+ (* (log (* 2.0 (* n PI))) (/ (- 1.0 k) 2.0)) (log (/ 1.0 (sqrt k)))) (exp (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (* (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (/ (* (/ (* 1.0 1.0) k) 1.0) (sqrt k)))) (* (* (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (cbrt (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (cbrt (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))))) (cbrt (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (* (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (sqrt (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (sqrt (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k)))) (* (pow (* 2.0 (* n PI)) (/ 1.0 2.0)) 1.0) (* (sqrt k) (pow (* 2.0 (* n PI)) (/ k 2.0))) (* (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) (* 2.0 2)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) (* 2.0 2)))) (/ (* (sqrt 1.0) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) (* 2.0 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) (* 2.0 2)))) (/ (* (sqrt 1.0) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (/ (* (sqrt 1.0) (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (sqrt (sqrt k))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) (* 2.0 2)))) (* (/ (sqrt 1.0) (sqrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) (* 2.0 2)))) (* (/ 1.0 (sqrt k)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (/ 1.0 (sqrt k)) (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (/ (* 1.0 (sqrt (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)))) (sqrt k)) (/ 1.0 (sqrt k)) (/ (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) (* 2.0 2))) 1.0) (sqrt k)) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (cbrt (/ 1.0 (sqrt k)))) (* (sqrt (/ 1.0 (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt (cbrt k)))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (sqrt k)) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ (cbrt 1.0) (sqrt (sqrt k)))) (/ (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (cbrt 1.0)) (sqrt k)) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (cbrt (sqrt k)))) (/ (* (sqrt 1.0) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ (sqrt 1.0) (sqrt (sqrt k)))) (* (/ (sqrt 1.0) (sqrt k)) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (* (/ 1.0 (cbrt (sqrt k))) (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (/ (* 1.0 (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0))) (sqrt (cbrt k))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt (sqrt k)))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (/ 1.0 (sqrt k))) (/ (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) (sqrt k)) (/ (* (pow (* 2.0 (* n PI)) (/ 1.0 2.0)) 1.0) (sqrt k)) (* (pow (* 2.0 (* n PI)) (/ (- 1.0 k) 2.0)) 1.0) (- (+ (+ (* (* (log n) (* (exp (* (log (* 2.0 (* n PI))) 0.5)) (* k k))) (* (log (* PI 2.0)) 0.25)) (+ (exp (* (log (* 2.0 (* n PI))) 0.5)) (* (* (* 0.125 (* (log (* PI 2.0)) (log (* PI 2.0)))) (* k k)) (exp (* (log (* 2.0 (* n PI))) 0.5))))) (* (* (* (log n) k) (* (log n) k)) (* (exp (* (log (* 2.0 (* n PI))) 0.5)) 0.125))) (* (* k (+ (* (exp (* (log (* 2.0 (* n PI))) 0.5)) (log n)) (* (exp (* (log (* 2.0 (* n PI))) 0.5)) (log (* PI 2.0))))) 0.5)) (exp (* (* (log (* 2.0 (* n PI))) 0.5) (- 1.0 k))) (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) (* PI n) (* PI n) (* PI n) (+ (- +nan.0 (* k +nan.0)) (- (* +nan.0 (* k k)))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) (/ (/ +nan.0 (* k k)) k))) (+ (- (/ +nan.0 k) +nan.0) (/ (- +nan.0) (* k k))) (- (+ (- (* +nan.0 (* k (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (* +nan.0 (* k (* k (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))))) (+ (- (* (* +nan.0 (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5)) (* (log n) (* k k))) (* +nan.0 (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5))) (- (* (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (* k (log (* PI 2.0))) (* k (log (* PI 2.0))))) +nan.0) (- (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* +nan.0 (* (* (log n) (* k k)) (log (* PI 2.0))))) (+ (- (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log (* PI 2.0)) k))) (* +nan.0 (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (log n) k)))) (* +nan.0 (- (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (* k k) (log (* PI 2.0)))) (* (pow (* (pow PI 1.0) (* (pow 2.0 1.0) (pow n 1.0))) 0.5) (* (* (log n) k) (* (log n) k))))))))))) (+ (* (/ (pow (* 2.0 (* n PI)) (* (- 1.0 k) 0.5)) (* k k)) (- +nan.0)) (* +nan.0 (- (/ (pow (* 2.0 (* n PI)) (* (- 1.0 k) 0.5)) k) (/ (/ (pow (* 2.0 (* n PI)) (* (- 1.0 k) 0.5)) (* k k)) k)))) (+ (* +nan.0 (- (/ (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) k) (/ (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))) (* k k)))) (* (- +nan.0) (exp (* (- (log (* PI -2.0)) (log (/ -1 n))) (* (- 1.0 k) 0.5))))) 10.730 * * * [progress]: adding candidates to table 11.630 * * [progress]: iteration 3 / 4 11.630 * * * [progress]: picking best candidate 11.678 * * * * [pick]: Picked # 11.678 * * * [progress]: localizing error 11.706 * * * [progress]: generating rewritten candidates 11.706 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 2) 11.722 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 2 1) 11.728 * * * * [progress]: [ 3 / 4 ] rewriting at (2 1) 11.734 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2) 11.768 * * * [progress]: generating series expansions 11.768 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 2) 11.768 * [backup-simplify]: Simplify (pow (* n PI) (/ (- 1.0 k) 2.0)) into (pow (* n PI) (* 0.5 (- 1.0 k))) 11.768 * [approximate]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in (n k) around 0 11.768 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 11.768 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 11.768 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 11.768 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.768 * [taylor]: Taking taylor expansion of 0.5 in k 11.768 * [backup-simplify]: Simplify 0.5 into 0.5 11.768 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.768 * [taylor]: Taking taylor expansion of 1.0 in k 11.768 * [backup-simplify]: Simplify 1.0 into 1.0 11.769 * [taylor]: Taking taylor expansion of k in k 11.769 * [backup-simplify]: Simplify 0 into 0 11.769 * [backup-simplify]: Simplify 1 into 1 11.769 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 11.769 * [taylor]: Taking taylor expansion of (* n PI) in k 11.769 * [taylor]: Taking taylor expansion of n in k 11.769 * [backup-simplify]: Simplify n into n 11.769 * [taylor]: Taking taylor expansion of PI in k 11.769 * [backup-simplify]: Simplify PI into PI 11.769 * [backup-simplify]: Simplify (* n PI) into (* n PI) 11.769 * [backup-simplify]: Simplify (log (* n PI)) into (log (* n PI)) 11.770 * [backup-simplify]: Simplify (- 0) into 0 11.770 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.770 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.771 * [backup-simplify]: Simplify (* 0.5 (log (* n PI))) into (* 0.5 (log (* n PI))) 11.771 * [backup-simplify]: Simplify (exp (* 0.5 (log (* n PI)))) into (pow (* n PI) 0.5) 11.771 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 11.771 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 11.771 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 11.771 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.771 * [taylor]: Taking taylor expansion of 0.5 in n 11.771 * [backup-simplify]: Simplify 0.5 into 0.5 11.771 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.771 * [taylor]: Taking taylor expansion of 1.0 in n 11.771 * [backup-simplify]: Simplify 1.0 into 1.0 11.771 * [taylor]: Taking taylor expansion of k in n 11.771 * [backup-simplify]: Simplify k into k 11.771 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 11.771 * [taylor]: Taking taylor expansion of (* n PI) in n 11.771 * [taylor]: Taking taylor expansion of n in n 11.771 * [backup-simplify]: Simplify 0 into 0 11.771 * [backup-simplify]: Simplify 1 into 1 11.771 * [taylor]: Taking taylor expansion of PI in n 11.771 * [backup-simplify]: Simplify PI into PI 11.772 * [backup-simplify]: Simplify (* 0 PI) into 0 11.773 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.774 * [backup-simplify]: Simplify (log PI) into (log PI) 11.774 * [backup-simplify]: Simplify (- k) into (- k) 11.774 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.774 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.775 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 11.775 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log PI) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log PI) (log n)))) 11.776 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log PI) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log PI) (log n))))) 11.776 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 11.776 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 11.776 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 11.776 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.776 * [taylor]: Taking taylor expansion of 0.5 in n 11.776 * [backup-simplify]: Simplify 0.5 into 0.5 11.776 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.776 * [taylor]: Taking taylor expansion of 1.0 in n 11.776 * [backup-simplify]: Simplify 1.0 into 1.0 11.776 * [taylor]: Taking taylor expansion of k in n 11.776 * [backup-simplify]: Simplify k into k 11.776 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 11.776 * [taylor]: Taking taylor expansion of (* n PI) in n 11.776 * [taylor]: Taking taylor expansion of n in n 11.776 * [backup-simplify]: Simplify 0 into 0 11.776 * [backup-simplify]: Simplify 1 into 1 11.776 * [taylor]: Taking taylor expansion of PI in n 11.776 * [backup-simplify]: Simplify PI into PI 11.777 * [backup-simplify]: Simplify (* 0 PI) into 0 11.778 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.778 * [backup-simplify]: Simplify (log PI) into (log PI) 11.778 * [backup-simplify]: Simplify (- k) into (- k) 11.778 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.778 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.778 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 11.779 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log PI) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log PI) (log n)))) 11.779 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log PI) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log PI) (log n))))) 11.779 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log PI) (log n))))) in k 11.779 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log PI) (log n)))) in k 11.779 * [taylor]: Taking taylor expansion of 0.5 in k 11.779 * [backup-simplify]: Simplify 0.5 into 0.5 11.779 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log PI) (log n))) in k 11.779 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.779 * [taylor]: Taking taylor expansion of 1.0 in k 11.779 * [backup-simplify]: Simplify 1.0 into 1.0 11.779 * [taylor]: Taking taylor expansion of k in k 11.779 * [backup-simplify]: Simplify 0 into 0 11.779 * [backup-simplify]: Simplify 1 into 1 11.779 * [taylor]: Taking taylor expansion of (+ (log PI) (log n)) in k 11.779 * [taylor]: Taking taylor expansion of (log PI) in k 11.779 * [taylor]: Taking taylor expansion of PI in k 11.780 * [backup-simplify]: Simplify PI into PI 11.780 * [backup-simplify]: Simplify (log PI) into (log PI) 11.780 * [taylor]: Taking taylor expansion of (log n) in k 11.780 * [taylor]: Taking taylor expansion of n in k 11.780 * [backup-simplify]: Simplify n into n 11.780 * [backup-simplify]: Simplify (log n) into (log n) 11.780 * [backup-simplify]: Simplify (- 0) into 0 11.780 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.781 * [backup-simplify]: Simplify (+ (log PI) (log n)) into (+ (log PI) (log n)) 11.781 * [backup-simplify]: Simplify (* 1.0 (+ (log PI) (log n))) into (* 1.0 (+ (log PI) (log n))) 11.781 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log PI) (log n)))) into (* 0.5 (+ (log PI) (log n))) 11.782 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log PI) (log n)))) into (exp (* 0.5 (+ (log PI) (log n)))) 11.782 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log PI) (log n)))) into (exp (* 0.5 (+ (log PI) (log n)))) 11.783 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 11.784 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.784 * [backup-simplify]: Simplify (- 0) into 0 11.784 * [backup-simplify]: Simplify (+ 0 0) into 0 11.784 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 11.785 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 11.785 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log PI) (log n)))) into 0 11.786 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log PI) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.786 * [taylor]: Taking taylor expansion of 0 in k 11.786 * [backup-simplify]: Simplify 0 into 0 11.786 * [backup-simplify]: Simplify 0 into 0 11.787 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.788 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 11.788 * [backup-simplify]: Simplify (+ 0 0) into 0 11.788 * [backup-simplify]: Simplify (- 1) into -1 11.788 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.789 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log PI) (log n)))) into (- (+ (log PI) (log n))) 11.789 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log PI) (log n)))) (* 0 (* 1.0 (+ (log PI) (log n))))) into (- (+ (* 0.5 (log PI)) (* 0.5 (log n)))) 11.791 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log PI) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log PI)) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log PI)) (* 0.5 (log n))) (exp (* 0.5 (+ (log PI) (log n)))))) 11.792 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log PI)) (* 0.5 (log n))) (exp (* 0.5 (+ (log PI) (log n)))))) into (* -1 (* (+ (* 0.5 (log PI)) (* 0.5 (log n))) (exp (* 0.5 (+ (log PI) (log n)))))) 11.792 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 11.794 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.795 * [backup-simplify]: Simplify (- 0) into 0 11.795 * [backup-simplify]: Simplify (+ 0 0) into 0 11.795 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 11.796 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 11.796 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log PI) (log n))))) into 0 11.797 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log PI) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.797 * [taylor]: Taking taylor expansion of 0 in k 11.797 * [backup-simplify]: Simplify 0 into 0 11.798 * [backup-simplify]: Simplify 0 into 0 11.798 * [backup-simplify]: Simplify 0 into 0 11.799 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.800 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 11.801 * [backup-simplify]: Simplify (+ 0 0) into 0 11.801 * [backup-simplify]: Simplify (- 0) into 0 11.801 * [backup-simplify]: Simplify (+ 0 0) into 0 11.802 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log PI) (log n))))) into 0 11.803 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log PI) (log n)))) (* 0 (* 1.0 (+ (log PI) (log n)))))) into 0 11.810 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log PI) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log PI)) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log PI) 2)) (* 0.25 (* (log PI) (log n))))) (exp (* 0.5 (+ (log PI) (log n))))) 11.813 * [backup-simplify]: Simplify (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log PI) 2)) (* 0.25 (* (log PI) (log n))))) (exp (* 0.5 (+ (log PI) (log n))))) into (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log PI) 2)) (* 0.25 (* (log PI) (log n))))) (exp (* 0.5 (+ (log PI) (log n))))) 11.818 * [backup-simplify]: Simplify (+ (* (* (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log PI) 2)) (* 0.25 (* (log PI) (log n))))) (exp (* 0.5 (+ (log PI) (log n))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log PI)) (* 0.5 (log n))) (exp (* 0.5 (+ (log PI) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log PI) (log n)))))) into (- (+ (exp (* 0.5 (+ (log PI) (log n)))) (+ (* 0.125 (* (exp (* 0.5 (+ (log PI) (log n)))) (* (pow (log PI) 2) (pow k 2)))) (+ (* 0.125 (* (exp (* 0.5 (+ (log PI) (log n)))) (* (pow (log n) 2) (pow k 2)))) (* 0.25 (* (exp (* 0.5 (+ (log PI) (log n)))) (* (log PI) (* (log n) (pow k 2)))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log PI) (log n)))) (* (log n) k))) (* 0.5 (* (exp (* 0.5 (+ (log PI) (log n)))) (* (log PI) k))))) 11.819 * [backup-simplify]: Simplify (pow (* (/ 1 n) PI) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) 11.819 * [approximate]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 11.819 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 11.819 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 11.819 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 11.819 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 11.819 * [taylor]: Taking taylor expansion of 0.5 in k 11.819 * [backup-simplify]: Simplify 0.5 into 0.5 11.819 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.819 * [taylor]: Taking taylor expansion of 1.0 in k 11.819 * [backup-simplify]: Simplify 1.0 into 1.0 11.819 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.819 * [taylor]: Taking taylor expansion of k in k 11.819 * [backup-simplify]: Simplify 0 into 0 11.819 * [backup-simplify]: Simplify 1 into 1 11.820 * [backup-simplify]: Simplify (/ 1 1) into 1 11.820 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 11.820 * [taylor]: Taking taylor expansion of (/ PI n) in k 11.820 * [taylor]: Taking taylor expansion of PI in k 11.820 * [backup-simplify]: Simplify PI into PI 11.820 * [taylor]: Taking taylor expansion of n in k 11.820 * [backup-simplify]: Simplify n into n 11.820 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 11.820 * [backup-simplify]: Simplify (log (/ PI n)) into (log (/ PI n)) 11.820 * [backup-simplify]: Simplify (- 1) into -1 11.821 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.821 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 11.821 * [backup-simplify]: Simplify (* -0.5 (log (/ PI n))) into (* -0.5 (log (/ PI n))) 11.821 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ PI n))))) 11.821 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.821 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 11.821 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 11.821 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.821 * [taylor]: Taking taylor expansion of 0.5 in n 11.821 * [backup-simplify]: Simplify 0.5 into 0.5 11.821 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.821 * [taylor]: Taking taylor expansion of 1.0 in n 11.821 * [backup-simplify]: Simplify 1.0 into 1.0 11.821 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.821 * [taylor]: Taking taylor expansion of k in n 11.821 * [backup-simplify]: Simplify k into k 11.821 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.821 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 11.821 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.821 * [taylor]: Taking taylor expansion of PI in n 11.822 * [backup-simplify]: Simplify PI into PI 11.822 * [taylor]: Taking taylor expansion of n in n 11.822 * [backup-simplify]: Simplify 0 into 0 11.822 * [backup-simplify]: Simplify 1 into 1 11.822 * [backup-simplify]: Simplify (/ PI 1) into PI 11.822 * [backup-simplify]: Simplify (log PI) into (log PI) 11.822 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.822 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.822 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.823 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 11.823 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log PI) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n)))) 11.824 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) 11.824 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 11.824 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 11.824 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 11.824 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 11.824 * [taylor]: Taking taylor expansion of 0.5 in n 11.824 * [backup-simplify]: Simplify 0.5 into 0.5 11.824 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 11.824 * [taylor]: Taking taylor expansion of 1.0 in n 11.824 * [backup-simplify]: Simplify 1.0 into 1.0 11.824 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.824 * [taylor]: Taking taylor expansion of k in n 11.824 * [backup-simplify]: Simplify k into k 11.824 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.824 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 11.824 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.824 * [taylor]: Taking taylor expansion of PI in n 11.824 * [backup-simplify]: Simplify PI into PI 11.824 * [taylor]: Taking taylor expansion of n in n 11.824 * [backup-simplify]: Simplify 0 into 0 11.824 * [backup-simplify]: Simplify 1 into 1 11.824 * [backup-simplify]: Simplify (/ PI 1) into PI 11.825 * [backup-simplify]: Simplify (log PI) into (log PI) 11.825 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 11.825 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 11.825 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 11.825 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 11.826 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log PI) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n)))) 11.826 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) 11.826 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) in k 11.826 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n)))) in k 11.826 * [taylor]: Taking taylor expansion of 0.5 in k 11.826 * [backup-simplify]: Simplify 0.5 into 0.5 11.826 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log PI) (log n))) in k 11.826 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 11.826 * [taylor]: Taking taylor expansion of 1.0 in k 11.826 * [backup-simplify]: Simplify 1.0 into 1.0 11.826 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.826 * [taylor]: Taking taylor expansion of k in k 11.826 * [backup-simplify]: Simplify 0 into 0 11.826 * [backup-simplify]: Simplify 1 into 1 11.827 * [backup-simplify]: Simplify (/ 1 1) into 1 11.827 * [taylor]: Taking taylor expansion of (- (log PI) (log n)) in k 11.827 * [taylor]: Taking taylor expansion of (log PI) in k 11.827 * [taylor]: Taking taylor expansion of PI in k 11.827 * [backup-simplify]: Simplify PI into PI 11.827 * [backup-simplify]: Simplify (log PI) into (log PI) 11.827 * [taylor]: Taking taylor expansion of (log n) in k 11.827 * [taylor]: Taking taylor expansion of n in k 11.827 * [backup-simplify]: Simplify n into n 11.827 * [backup-simplify]: Simplify (log n) into (log n) 11.827 * [backup-simplify]: Simplify (- 1) into -1 11.828 * [backup-simplify]: Simplify (+ 0 -1) into -1 11.828 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.828 * [backup-simplify]: Simplify (+ (log PI) (- (log n))) into (- (log PI) (log n)) 11.828 * [backup-simplify]: Simplify (* -1 (- (log PI) (log n))) into (* -1 (- (log PI) (log n))) 11.828 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log PI) (log n)))) into (* -0.5 (- (log PI) (log n))) 11.829 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) 11.829 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) 11.830 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.831 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 11.831 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.831 * [backup-simplify]: Simplify (- 0) into 0 11.831 * [backup-simplify]: Simplify (+ 0 0) into 0 11.832 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 11.832 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 11.833 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log PI) (log n)))) into 0 11.834 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 11.834 * [taylor]: Taking taylor expansion of 0 in k 11.834 * [backup-simplify]: Simplify 0 into 0 11.834 * [backup-simplify]: Simplify 0 into 0 11.834 * [backup-simplify]: Simplify 0 into 0 11.834 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.836 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 11.836 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.836 * [backup-simplify]: Simplify (- 0) into 0 11.837 * [backup-simplify]: Simplify (+ 0 0) into 0 11.837 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 11.838 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 11.838 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))) into 0 11.839 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.839 * [taylor]: Taking taylor expansion of 0 in k 11.839 * [backup-simplify]: Simplify 0 into 0 11.839 * [backup-simplify]: Simplify 0 into 0 11.839 * [backup-simplify]: Simplify 0 into 0 11.839 * [backup-simplify]: Simplify 0 into 0 11.840 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.843 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow PI 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow PI 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow PI 1)))) 6) into 0 11.843 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.844 * [backup-simplify]: Simplify (- 0) into 0 11.844 * [backup-simplify]: Simplify (+ 0 0) into 0 11.845 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 11.845 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 11.846 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log PI) (log n)))))) into 0 11.847 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.847 * [taylor]: Taking taylor expansion of 0 in k 11.847 * [backup-simplify]: Simplify 0 into 0 11.847 * [backup-simplify]: Simplify 0 into 0 11.848 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log PI) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) 11.848 * [backup-simplify]: Simplify (pow (* (/ 1 (- n)) PI) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 11.848 * [approximate]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 11.848 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 11.848 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 11.848 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 11.848 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 11.848 * [taylor]: Taking taylor expansion of 0.5 in k 11.848 * [backup-simplify]: Simplify 0.5 into 0.5 11.848 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.848 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.848 * [taylor]: Taking taylor expansion of k in k 11.848 * [backup-simplify]: Simplify 0 into 0 11.848 * [backup-simplify]: Simplify 1 into 1 11.848 * [backup-simplify]: Simplify (/ 1 1) into 1 11.848 * [taylor]: Taking taylor expansion of 1.0 in k 11.848 * [backup-simplify]: Simplify 1.0 into 1.0 11.848 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 11.848 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 11.848 * [taylor]: Taking taylor expansion of -1 in k 11.848 * [backup-simplify]: Simplify -1 into -1 11.848 * [taylor]: Taking taylor expansion of (/ PI n) in k 11.848 * [taylor]: Taking taylor expansion of PI in k 11.848 * [backup-simplify]: Simplify PI into PI 11.848 * [taylor]: Taking taylor expansion of n in k 11.848 * [backup-simplify]: Simplify n into n 11.848 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 11.848 * [backup-simplify]: Simplify (* -1 (/ PI n)) into (* -1 (/ PI n)) 11.849 * [backup-simplify]: Simplify (log (* -1 (/ PI n))) into (log (* -1 (/ PI n))) 11.849 * [backup-simplify]: Simplify (+ 1 0) into 1 11.849 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 11.849 * [backup-simplify]: Simplify (* 0.5 (log (* -1 (/ PI n)))) into (* 0.5 (log (* -1 (/ PI n)))) 11.849 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) into (exp (* 0.5 (* (log (* -1 (/ PI n))) (+ (/ 1 k) 1.0)))) 11.849 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.849 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 11.849 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 11.849 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.849 * [taylor]: Taking taylor expansion of 0.5 in n 11.849 * [backup-simplify]: Simplify 0.5 into 0.5 11.849 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.849 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.850 * [taylor]: Taking taylor expansion of k in n 11.850 * [backup-simplify]: Simplify k into k 11.850 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.850 * [taylor]: Taking taylor expansion of 1.0 in n 11.850 * [backup-simplify]: Simplify 1.0 into 1.0 11.850 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 11.850 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 11.850 * [taylor]: Taking taylor expansion of -1 in n 11.850 * [backup-simplify]: Simplify -1 into -1 11.850 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.850 * [taylor]: Taking taylor expansion of PI in n 11.850 * [backup-simplify]: Simplify PI into PI 11.850 * [taylor]: Taking taylor expansion of n in n 11.850 * [backup-simplify]: Simplify 0 into 0 11.850 * [backup-simplify]: Simplify 1 into 1 11.850 * [backup-simplify]: Simplify (/ PI 1) into PI 11.850 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 11.851 * [backup-simplify]: Simplify (log (* -1 PI)) into (log (* -1 PI)) 11.851 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.851 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.852 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 11.853 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -1 PI)) (log n))) into (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))) 11.854 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) 11.854 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 11.854 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 11.854 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 11.854 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 11.854 * [taylor]: Taking taylor expansion of 0.5 in n 11.854 * [backup-simplify]: Simplify 0.5 into 0.5 11.854 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 11.854 * [taylor]: Taking taylor expansion of (/ 1 k) in n 11.854 * [taylor]: Taking taylor expansion of k in n 11.854 * [backup-simplify]: Simplify k into k 11.854 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 11.854 * [taylor]: Taking taylor expansion of 1.0 in n 11.854 * [backup-simplify]: Simplify 1.0 into 1.0 11.854 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 11.855 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 11.855 * [taylor]: Taking taylor expansion of -1 in n 11.855 * [backup-simplify]: Simplify -1 into -1 11.855 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.855 * [taylor]: Taking taylor expansion of PI in n 11.855 * [backup-simplify]: Simplify PI into PI 11.855 * [taylor]: Taking taylor expansion of n in n 11.855 * [backup-simplify]: Simplify 0 into 0 11.855 * [backup-simplify]: Simplify 1 into 1 11.855 * [backup-simplify]: Simplify (/ PI 1) into PI 11.856 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 11.857 * [backup-simplify]: Simplify (log (* -1 PI)) into (log (* -1 PI)) 11.857 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 11.857 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 11.858 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 11.860 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -1 PI)) (log n))) into (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))) 11.861 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) 11.861 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 11.861 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 11.861 * [taylor]: Taking taylor expansion of 0.5 in k 11.861 * [backup-simplify]: Simplify 0.5 into 0.5 11.861 * [taylor]: Taking taylor expansion of (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 11.861 * [taylor]: Taking taylor expansion of (- (log (* -1 PI)) (log n)) in k 11.861 * [taylor]: Taking taylor expansion of (log (* -1 PI)) in k 11.861 * [taylor]: Taking taylor expansion of (* -1 PI) in k 11.861 * [taylor]: Taking taylor expansion of -1 in k 11.861 * [backup-simplify]: Simplify -1 into -1 11.861 * [taylor]: Taking taylor expansion of PI in k 11.861 * [backup-simplify]: Simplify PI into PI 11.862 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 11.863 * [backup-simplify]: Simplify (log (* -1 PI)) into (log (* -1 PI)) 11.863 * [taylor]: Taking taylor expansion of (log n) in k 11.863 * [taylor]: Taking taylor expansion of n in k 11.863 * [backup-simplify]: Simplify n into n 11.863 * [backup-simplify]: Simplify (log n) into (log n) 11.863 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 11.863 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.863 * [taylor]: Taking taylor expansion of k in k 11.863 * [backup-simplify]: Simplify 0 into 0 11.863 * [backup-simplify]: Simplify 1 into 1 11.864 * [backup-simplify]: Simplify (/ 1 1) into 1 11.864 * [taylor]: Taking taylor expansion of 1.0 in k 11.864 * [backup-simplify]: Simplify 1.0 into 1.0 11.864 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 11.865 * [backup-simplify]: Simplify (+ (log (* -1 PI)) (- (log n))) into (- (log (* -1 PI)) (log n)) 11.865 * [backup-simplify]: Simplify (+ 1 0) into 1 11.866 * [backup-simplify]: Simplify (* (- (log (* -1 PI)) (log n)) 1) into (- (log (* -1 PI)) (log n)) 11.868 * [backup-simplify]: Simplify (* 0.5 (- (log (* -1 PI)) (log n))) into (* 0.5 (- (log (* -1 PI)) (log n))) 11.869 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) 11.870 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) 11.870 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.871 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 11.872 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 PI) 1)))) 1) into 0 11.872 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 11.872 * [backup-simplify]: Simplify (+ 0 0) into 0 11.872 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 11.873 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 11.874 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -1 PI)) (log n)))) into 0 11.875 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 11.875 * [taylor]: Taking taylor expansion of 0 in k 11.875 * [backup-simplify]: Simplify 0 into 0 11.875 * [backup-simplify]: Simplify 0 into 0 11.875 * [backup-simplify]: Simplify 0 into 0 11.876 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.876 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 11.878 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 PI) 1)))) 2) into 0 11.878 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.879 * [backup-simplify]: Simplify (+ 0 0) into 0 11.879 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 11.880 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 11.881 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -1 PI)) (log n))))) into 0 11.882 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 11.882 * [taylor]: Taking taylor expansion of 0 in k 11.882 * [backup-simplify]: Simplify 0 into 0 11.882 * [backup-simplify]: Simplify 0 into 0 11.882 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify 0 into 0 11.883 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.884 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.887 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -1 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -1 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -1 PI) 1)))) 6) into 0 11.888 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 11.888 * [backup-simplify]: Simplify (+ 0 0) into 0 11.889 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 11.890 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 11.891 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -1 PI)) (log n)))))) into 0 11.892 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 11.892 * [taylor]: Taking taylor expansion of 0 in k 11.892 * [backup-simplify]: Simplify 0 into 0 11.892 * [backup-simplify]: Simplify 0 into 0 11.893 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -1 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1.0 k)))) 11.893 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 2 1) 11.893 * [backup-simplify]: Simplify (* n PI) into (* n PI) 11.893 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 11.893 * [taylor]: Taking taylor expansion of (* n PI) in n 11.893 * [taylor]: Taking taylor expansion of n in n 11.893 * [backup-simplify]: Simplify 0 into 0 11.893 * [backup-simplify]: Simplify 1 into 1 11.893 * [taylor]: Taking taylor expansion of PI in n 11.893 * [backup-simplify]: Simplify PI into PI 11.893 * [taylor]: Taking taylor expansion of (* n PI) in n 11.894 * [taylor]: Taking taylor expansion of n in n 11.894 * [backup-simplify]: Simplify 0 into 0 11.894 * [backup-simplify]: Simplify 1 into 1 11.894 * [taylor]: Taking taylor expansion of PI in n 11.894 * [backup-simplify]: Simplify PI into PI 11.894 * [backup-simplify]: Simplify (* 0 PI) into 0 11.894 * [backup-simplify]: Simplify 0 into 0 11.895 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.895 * [backup-simplify]: Simplify PI into PI 11.895 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 11.895 * [backup-simplify]: Simplify 0 into 0 11.896 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 11.896 * [backup-simplify]: Simplify 0 into 0 11.897 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.897 * [backup-simplify]: Simplify 0 into 0 11.898 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 11.898 * [backup-simplify]: Simplify 0 into 0 11.899 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 11.899 * [backup-simplify]: Simplify 0 into 0 11.900 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 11.900 * [backup-simplify]: Simplify 0 into 0 11.900 * [backup-simplify]: Simplify (* PI n) into (* n PI) 11.900 * [backup-simplify]: Simplify (* (/ 1 n) PI) into (/ PI n) 11.900 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 11.900 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.900 * [taylor]: Taking taylor expansion of PI in n 11.900 * [backup-simplify]: Simplify PI into PI 11.900 * [taylor]: Taking taylor expansion of n in n 11.900 * [backup-simplify]: Simplify 0 into 0 11.900 * [backup-simplify]: Simplify 1 into 1 11.900 * [backup-simplify]: Simplify (/ PI 1) into PI 11.900 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.900 * [taylor]: Taking taylor expansion of PI in n 11.900 * [backup-simplify]: Simplify PI into PI 11.900 * [taylor]: Taking taylor expansion of n in n 11.901 * [backup-simplify]: Simplify 0 into 0 11.901 * [backup-simplify]: Simplify 1 into 1 11.901 * [backup-simplify]: Simplify (/ PI 1) into PI 11.901 * [backup-simplify]: Simplify PI into PI 11.902 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.902 * [backup-simplify]: Simplify 0 into 0 11.903 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.903 * [backup-simplify]: Simplify 0 into 0 11.904 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.904 * [backup-simplify]: Simplify 0 into 0 11.905 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.905 * [backup-simplify]: Simplify 0 into 0 11.906 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.906 * [backup-simplify]: Simplify 0 into 0 11.908 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.908 * [backup-simplify]: Simplify 0 into 0 11.908 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 n))) into (* n PI) 11.908 * [backup-simplify]: Simplify (* (/ 1 (- n)) PI) into (* -1 (/ PI n)) 11.908 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 11.908 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 11.908 * [taylor]: Taking taylor expansion of -1 in n 11.908 * [backup-simplify]: Simplify -1 into -1 11.908 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.908 * [taylor]: Taking taylor expansion of PI in n 11.908 * [backup-simplify]: Simplify PI into PI 11.908 * [taylor]: Taking taylor expansion of n in n 11.908 * [backup-simplify]: Simplify 0 into 0 11.908 * [backup-simplify]: Simplify 1 into 1 11.909 * [backup-simplify]: Simplify (/ PI 1) into PI 11.909 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 11.909 * [taylor]: Taking taylor expansion of -1 in n 11.909 * [backup-simplify]: Simplify -1 into -1 11.909 * [taylor]: Taking taylor expansion of (/ PI n) in n 11.909 * [taylor]: Taking taylor expansion of PI in n 11.909 * [backup-simplify]: Simplify PI into PI 11.909 * [taylor]: Taking taylor expansion of n in n 11.909 * [backup-simplify]: Simplify 0 into 0 11.909 * [backup-simplify]: Simplify 1 into 1 11.909 * [backup-simplify]: Simplify (/ PI 1) into PI 11.916 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 11.917 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 11.918 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 11.919 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 11.919 * [backup-simplify]: Simplify 0 into 0 11.920 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.921 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 11.921 * [backup-simplify]: Simplify 0 into 0 11.922 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.923 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 11.923 * [backup-simplify]: Simplify 0 into 0 11.924 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.926 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 11.926 * [backup-simplify]: Simplify 0 into 0 11.927 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.928 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 11.928 * [backup-simplify]: Simplify 0 into 0 11.929 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.931 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 11.931 * [backup-simplify]: Simplify 0 into 0 11.931 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- n)))) into (* n PI) 11.931 * * * * [progress]: [ 3 / 4 ] generating series at (2 1) 11.932 * [backup-simplify]: Simplify (/ 1.0 (sqrt k)) into (* 1.0 (sqrt (/ 1 k))) 11.932 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in (k) around 0 11.932 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 11.932 * [taylor]: Taking taylor expansion of 1.0 in k 11.932 * [backup-simplify]: Simplify 1.0 into 1.0 11.932 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.932 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.932 * [taylor]: Taking taylor expansion of k in k 11.932 * [backup-simplify]: Simplify 0 into 0 11.932 * [backup-simplify]: Simplify 1 into 1 11.932 * [backup-simplify]: Simplify (/ 1 1) into 1 11.933 * [backup-simplify]: Simplify (sqrt 0) into 0 11.933 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.934 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt (/ 1 k))) in k 11.934 * [taylor]: Taking taylor expansion of 1.0 in k 11.934 * [backup-simplify]: Simplify 1.0 into 1.0 11.934 * [taylor]: Taking taylor expansion of (sqrt (/ 1 k)) in k 11.934 * [taylor]: Taking taylor expansion of (/ 1 k) in k 11.934 * [taylor]: Taking taylor expansion of k in k 11.934 * [backup-simplify]: Simplify 0 into 0 11.934 * [backup-simplify]: Simplify 1 into 1 11.934 * [backup-simplify]: Simplify (/ 1 1) into 1 11.934 * [backup-simplify]: Simplify (sqrt 0) into 0 11.935 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.936 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.936 * [backup-simplify]: Simplify 0 into 0 11.936 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 11.937 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.937 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)))) into 0 11.939 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.940 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.940 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.941 * [backup-simplify]: Simplify (- (+ (* 1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.943 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.944 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.945 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.945 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow k 2)) (+ (* (- +nan.0) k) (- +nan.0))) into (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) 11.945 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 k))) into (* 1.0 (sqrt k)) 11.946 * [approximate]: Taking taylor expansion of (* 1.0 (sqrt k)) in (k) around 0 11.946 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 11.946 * [taylor]: Taking taylor expansion of 1.0 in k 11.946 * [backup-simplify]: Simplify 1.0 into 1.0 11.946 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.946 * [taylor]: Taking taylor expansion of k in k 11.946 * [backup-simplify]: Simplify 0 into 0 11.946 * [backup-simplify]: Simplify 1 into 1 11.946 * [backup-simplify]: Simplify (sqrt 0) into 0 11.947 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.947 * [taylor]: Taking taylor expansion of (* 1.0 (sqrt k)) in k 11.947 * [taylor]: Taking taylor expansion of 1.0 in k 11.947 * [backup-simplify]: Simplify 1.0 into 1.0 11.947 * [taylor]: Taking taylor expansion of (sqrt k) in k 11.947 * [taylor]: Taking taylor expansion of k in k 11.947 * [backup-simplify]: Simplify 0 into 0 11.947 * [backup-simplify]: Simplify 1 into 1 11.947 * [backup-simplify]: Simplify (sqrt 0) into 0 11.948 * [backup-simplify]: Simplify (/ 1 (* 2 (sqrt 0))) into +nan.0 11.948 * [backup-simplify]: Simplify (* 1.0 0) into 0 11.948 * [backup-simplify]: Simplify 0 into 0 11.949 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (* 0 0)) into (- +nan.0) 11.949 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.951 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.952 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (* 0 0))) into (- +nan.0) 11.952 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.955 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.956 * [backup-simplify]: Simplify (+ (* 1.0 +nan.0) (+ (* 0 +nan.0) (+ (* 0 +nan.0) (* 0 0)))) into (- +nan.0) 11.956 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.957 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 k) 3)) (+ (* (- +nan.0) (pow (/ 1 k) 2)) (* (- +nan.0) (/ 1 k)))) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) 11.957 * [backup-simplify]: Simplify (/ 1.0 (sqrt (/ 1 (- k)))) into (/ 1.0 (sqrt (/ -1 k))) 11.957 * [approximate]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in (k) around 0 11.957 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 11.957 * [taylor]: Taking taylor expansion of 1.0 in k 11.957 * [backup-simplify]: Simplify 1.0 into 1.0 11.958 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.958 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.958 * [taylor]: Taking taylor expansion of -1 in k 11.958 * [backup-simplify]: Simplify -1 into -1 11.958 * [taylor]: Taking taylor expansion of k in k 11.958 * [backup-simplify]: Simplify 0 into 0 11.958 * [backup-simplify]: Simplify 1 into 1 11.958 * [backup-simplify]: Simplify (/ -1 1) into -1 11.958 * [backup-simplify]: Simplify (sqrt 0) into 0 11.959 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.959 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 11.959 * [taylor]: Taking taylor expansion of (/ 1.0 (sqrt (/ -1 k))) in k 11.959 * [taylor]: Taking taylor expansion of 1.0 in k 11.959 * [backup-simplify]: Simplify 1.0 into 1.0 11.959 * [taylor]: Taking taylor expansion of (sqrt (/ -1 k)) in k 11.959 * [taylor]: Taking taylor expansion of (/ -1 k) in k 11.959 * [taylor]: Taking taylor expansion of -1 in k 11.959 * [backup-simplify]: Simplify -1 into -1 11.959 * [taylor]: Taking taylor expansion of k in k 11.959 * [backup-simplify]: Simplify 0 into 0 11.959 * [backup-simplify]: Simplify 1 into 1 11.960 * [backup-simplify]: Simplify (/ -1 1) into -1 11.960 * [backup-simplify]: Simplify (sqrt 0) into 0 11.961 * [backup-simplify]: Simplify (/ -1 (* 2 (sqrt 0))) into +nan.0 11.961 * [backup-simplify]: Simplify (/ 1.0 +nan.0) into +nan.0 11.961 * [backup-simplify]: Simplify +nan.0 into +nan.0 11.961 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)))) into 0 11.963 * [backup-simplify]: Simplify (/ (- 0 (pow +nan.0 2) (+)) (* 2 0)) into +nan.0 11.965 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)))) into (- +nan.0) 11.965 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.965 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* -1 (/ 0 1)) (* 0 (/ 0 1)))) into 0 11.968 * [backup-simplify]: Simplify (/ (- 0 (+ (* 2 (* +nan.0 +nan.0)))) (* 2 0)) into +nan.0 11.970 * [backup-simplify]: Simplify (- (/ 0 +nan.0) (+ (* +nan.0 (/ +nan.0 +nan.0)) (* (- +nan.0) (/ +nan.0 +nan.0)))) into (- +nan.0) 11.970 * [backup-simplify]: Simplify (- +nan.0) into (- +nan.0) 11.971 * [backup-simplify]: Simplify (+ (* (- +nan.0) (pow (/ 1 (- k)) 2)) (+ (* (- +nan.0) (/ 1 (- k))) +nan.0)) into (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) 11.971 * * * * [progress]: [ 4 / 4 ] generating series at (2 2) 11.971 * [backup-simplify]: Simplify (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) into (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow (* n PI) (* 0.5 (- 1.0 k)))) 11.971 * [approximate]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow (* n PI) (* 0.5 (- 1.0 k)))) in (k n) around 0 11.971 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow (* n PI) (* 0.5 (- 1.0 k)))) in n 11.972 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in n 11.972 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in n 11.972 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in n 11.972 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.972 * [taylor]: Taking taylor expansion of 0.5 in n 11.972 * [backup-simplify]: Simplify 0.5 into 0.5 11.972 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.972 * [taylor]: Taking taylor expansion of 1.0 in n 11.972 * [backup-simplify]: Simplify 1.0 into 1.0 11.972 * [taylor]: Taking taylor expansion of k in n 11.972 * [backup-simplify]: Simplify k into k 11.972 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.972 * [taylor]: Taking taylor expansion of 2.0 in n 11.972 * [backup-simplify]: Simplify 2.0 into 2.0 11.972 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.972 * [backup-simplify]: Simplify (- k) into (- k) 11.972 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.972 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.972 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (log 2.0)) into (* 0.5 (* (- 1.0 k) (log 2.0))) 11.973 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) into (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) 11.973 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in n 11.973 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in n 11.973 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in n 11.973 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 11.973 * [taylor]: Taking taylor expansion of 0.5 in n 11.973 * [backup-simplify]: Simplify 0.5 into 0.5 11.973 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 11.973 * [taylor]: Taking taylor expansion of 1.0 in n 11.973 * [backup-simplify]: Simplify 1.0 into 1.0 11.973 * [taylor]: Taking taylor expansion of k in n 11.973 * [backup-simplify]: Simplify k into k 11.973 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 11.973 * [taylor]: Taking taylor expansion of (* n PI) in n 11.973 * [taylor]: Taking taylor expansion of n in n 11.973 * [backup-simplify]: Simplify 0 into 0 11.973 * [backup-simplify]: Simplify 1 into 1 11.973 * [taylor]: Taking taylor expansion of PI in n 11.973 * [backup-simplify]: Simplify PI into PI 11.973 * [backup-simplify]: Simplify (* 0 PI) into 0 11.974 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 11.975 * [backup-simplify]: Simplify (log PI) into (log PI) 11.975 * [backup-simplify]: Simplify (- k) into (- k) 11.975 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 11.975 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 11.975 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 11.976 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log PI) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log PI) (log n)))) 11.976 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log PI) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log PI) (log n))))) 11.976 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow (* n PI) (* 0.5 (- 1.0 k)))) in k 11.976 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.976 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.976 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.976 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.976 * [taylor]: Taking taylor expansion of 0.5 in k 11.976 * [backup-simplify]: Simplify 0.5 into 0.5 11.976 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.976 * [taylor]: Taking taylor expansion of 1.0 in k 11.976 * [backup-simplify]: Simplify 1.0 into 1.0 11.976 * [taylor]: Taking taylor expansion of k in k 11.976 * [backup-simplify]: Simplify 0 into 0 11.976 * [backup-simplify]: Simplify 1 into 1 11.976 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.976 * [taylor]: Taking taylor expansion of 2.0 in k 11.976 * [backup-simplify]: Simplify 2.0 into 2.0 11.976 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.977 * [backup-simplify]: Simplify (- 0) into 0 11.977 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.977 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.978 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.979 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.979 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 11.979 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 11.979 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 11.979 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.979 * [taylor]: Taking taylor expansion of 0.5 in k 11.979 * [backup-simplify]: Simplify 0.5 into 0.5 11.979 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.979 * [taylor]: Taking taylor expansion of 1.0 in k 11.979 * [backup-simplify]: Simplify 1.0 into 1.0 11.979 * [taylor]: Taking taylor expansion of k in k 11.979 * [backup-simplify]: Simplify 0 into 0 11.979 * [backup-simplify]: Simplify 1 into 1 11.979 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 11.979 * [taylor]: Taking taylor expansion of (* n PI) in k 11.979 * [taylor]: Taking taylor expansion of n in k 11.979 * [backup-simplify]: Simplify n into n 11.979 * [taylor]: Taking taylor expansion of PI in k 11.979 * [backup-simplify]: Simplify PI into PI 11.979 * [backup-simplify]: Simplify (* n PI) into (* n PI) 11.979 * [backup-simplify]: Simplify (log (* n PI)) into (log (* n PI)) 11.979 * [backup-simplify]: Simplify (- 0) into 0 11.979 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.980 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.980 * [backup-simplify]: Simplify (* 0.5 (log (* n PI))) into (* 0.5 (log (* n PI))) 11.980 * [backup-simplify]: Simplify (exp (* 0.5 (log (* n PI)))) into (pow (* n PI) 0.5) 11.980 * [taylor]: Taking taylor expansion of (* (pow 2.0 (* 0.5 (- 1.0 k))) (pow (* n PI) (* 0.5 (- 1.0 k)))) in k 11.980 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 k))) in k 11.980 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log 2.0))) in k 11.980 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log 2.0)) in k 11.980 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.980 * [taylor]: Taking taylor expansion of 0.5 in k 11.980 * [backup-simplify]: Simplify 0.5 into 0.5 11.980 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.980 * [taylor]: Taking taylor expansion of 1.0 in k 11.980 * [backup-simplify]: Simplify 1.0 into 1.0 11.980 * [taylor]: Taking taylor expansion of k in k 11.980 * [backup-simplify]: Simplify 0 into 0 11.980 * [backup-simplify]: Simplify 1 into 1 11.980 * [taylor]: Taking taylor expansion of (log 2.0) in k 11.980 * [taylor]: Taking taylor expansion of 2.0 in k 11.980 * [backup-simplify]: Simplify 2.0 into 2.0 11.980 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.981 * [backup-simplify]: Simplify (- 0) into 0 11.981 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.981 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.982 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 11.983 * [backup-simplify]: Simplify (exp (* 0.5 (log 2.0))) into (pow 2.0 0.5) 11.983 * [taylor]: Taking taylor expansion of (pow (* n PI) (* 0.5 (- 1.0 k))) in k 11.983 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* n PI)))) in k 11.983 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* n PI))) in k 11.983 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 11.983 * [taylor]: Taking taylor expansion of 0.5 in k 11.983 * [backup-simplify]: Simplify 0.5 into 0.5 11.983 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 11.983 * [taylor]: Taking taylor expansion of 1.0 in k 11.983 * [backup-simplify]: Simplify 1.0 into 1.0 11.983 * [taylor]: Taking taylor expansion of k in k 11.983 * [backup-simplify]: Simplify 0 into 0 11.983 * [backup-simplify]: Simplify 1 into 1 11.983 * [taylor]: Taking taylor expansion of (log (* n PI)) in k 11.983 * [taylor]: Taking taylor expansion of (* n PI) in k 11.983 * [taylor]: Taking taylor expansion of n in k 11.983 * [backup-simplify]: Simplify n into n 11.983 * [taylor]: Taking taylor expansion of PI in k 11.983 * [backup-simplify]: Simplify PI into PI 11.983 * [backup-simplify]: Simplify (* n PI) into (* n PI) 11.983 * [backup-simplify]: Simplify (log (* n PI)) into (log (* n PI)) 11.983 * [backup-simplify]: Simplify (- 0) into 0 11.984 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 11.984 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 11.984 * [backup-simplify]: Simplify (* 0.5 (log (* n PI))) into (* 0.5 (log (* n PI))) 11.984 * [backup-simplify]: Simplify (exp (* 0.5 (log (* n PI)))) into (pow (* n PI) 0.5) 11.985 * [backup-simplify]: Simplify (* (pow 2.0 0.5) (pow (* n PI) 0.5)) into (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) 11.985 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 11.985 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 11.985 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 11.985 * [taylor]: Taking taylor expansion of 0.5 in n 11.985 * [backup-simplify]: Simplify 0.5 into 0.5 11.985 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 11.985 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 11.985 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 11.985 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 11.985 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 11.985 * [taylor]: Taking taylor expansion of 1.0 in n 11.985 * [backup-simplify]: Simplify 1.0 into 1.0 11.985 * [taylor]: Taking taylor expansion of (log PI) in n 11.985 * [taylor]: Taking taylor expansion of PI in n 11.985 * [backup-simplify]: Simplify PI into PI 11.986 * [backup-simplify]: Simplify (log PI) into (log PI) 11.986 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 11.988 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 11.988 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 11.988 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 11.988 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 11.988 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 11.988 * [taylor]: Taking taylor expansion of 1.0 in n 11.988 * [backup-simplify]: Simplify 1.0 into 1.0 11.988 * [taylor]: Taking taylor expansion of (log n) in n 11.988 * [taylor]: Taking taylor expansion of n in n 11.988 * [backup-simplify]: Simplify 0 into 0 11.988 * [backup-simplify]: Simplify 1 into 1 11.989 * [backup-simplify]: Simplify (log 1) into 0 11.989 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 11.989 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 11.989 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 11.989 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 11.989 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 11.990 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 11.990 * [taylor]: Taking taylor expansion of 1.0 in n 11.990 * [backup-simplify]: Simplify 1.0 into 1.0 11.990 * [taylor]: Taking taylor expansion of (log 2.0) in n 11.990 * [taylor]: Taking taylor expansion of 2.0 in n 11.990 * [backup-simplify]: Simplify 2.0 into 2.0 11.990 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 11.991 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 11.993 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 11.993 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 11.995 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 11.996 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 11.997 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 11.999 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 12.000 * [backup-simplify]: Simplify (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) into (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) 12.001 * [backup-simplify]: Simplify (+ (* n 0) (* 0 PI)) into 0 12.002 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* n PI) 1)))) 1) into 0 12.002 * [backup-simplify]: Simplify (- 1) into -1 12.003 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.004 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.005 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log (* n PI)))) into (- (* 0.5 (log (* n PI)))) 12.006 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* n PI)))) (+ (* (/ (pow (- (* 0.5 (log (* n PI)))) 1) 1)))) into (* -0.5 (* (log (* n PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) 12.007 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 12.007 * [backup-simplify]: Simplify (- 1) into -1 12.008 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.010 * [backup-simplify]: Simplify (+ (* 0.5 -1) (* 0 1.0)) into (- 0.5) 12.012 * [backup-simplify]: Simplify (+ (* 0.5 0) (* (- 0.5) (log 2.0))) into (- (* 0.5 (log 2.0))) 12.021 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 1) 1)))) into (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) 12.033 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) (* -0.5 (* (log (* n PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)))) (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) (pow (* n PI) 0.5))) into (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* n PI)))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))))) 12.034 * [taylor]: Taking taylor expansion of (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* n PI)))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))))) in n 12.034 * [taylor]: Taking taylor expansion of (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* n PI)))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0)))) in n 12.034 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* n PI)))) in n 12.034 * [taylor]: Taking taylor expansion of 0.5 in n 12.034 * [backup-simplify]: Simplify 0.5 into 0.5 12.034 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log (* n PI))) in n 12.034 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.034 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.034 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.034 * [taylor]: Taking taylor expansion of 0.5 in n 12.034 * [backup-simplify]: Simplify 0.5 into 0.5 12.034 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.034 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.034 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.034 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.034 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.034 * [taylor]: Taking taylor expansion of 1.0 in n 12.034 * [backup-simplify]: Simplify 1.0 into 1.0 12.034 * [taylor]: Taking taylor expansion of (log PI) in n 12.035 * [taylor]: Taking taylor expansion of PI in n 12.035 * [backup-simplify]: Simplify PI into PI 12.035 * [backup-simplify]: Simplify (log PI) into (log PI) 12.036 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.038 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.038 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.038 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.038 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.038 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.038 * [taylor]: Taking taylor expansion of 1.0 in n 12.038 * [backup-simplify]: Simplify 1.0 into 1.0 12.038 * [taylor]: Taking taylor expansion of (log n) in n 12.038 * [taylor]: Taking taylor expansion of n in n 12.038 * [backup-simplify]: Simplify 0 into 0 12.038 * [backup-simplify]: Simplify 1 into 1 12.039 * [backup-simplify]: Simplify (log 1) into 0 12.039 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.039 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.039 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.039 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.039 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.039 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.039 * [taylor]: Taking taylor expansion of 1.0 in n 12.039 * [backup-simplify]: Simplify 1.0 into 1.0 12.039 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.039 * [taylor]: Taking taylor expansion of 2.0 in n 12.039 * [backup-simplify]: Simplify 2.0 into 2.0 12.040 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.041 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.042 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.043 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 12.044 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 12.046 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 12.047 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 12.048 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 12.048 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 12.048 * [taylor]: Taking taylor expansion of (* n PI) in n 12.048 * [taylor]: Taking taylor expansion of n in n 12.048 * [backup-simplify]: Simplify 0 into 0 12.048 * [backup-simplify]: Simplify 1 into 1 12.048 * [taylor]: Taking taylor expansion of PI in n 12.049 * [backup-simplify]: Simplify PI into PI 12.049 * [backup-simplify]: Simplify (* 0 PI) into 0 12.050 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.051 * [backup-simplify]: Simplify (log PI) into (log PI) 12.051 * [taylor]: Taking taylor expansion of (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) in n 12.051 * [taylor]: Taking taylor expansion of 0.5 in n 12.051 * [backup-simplify]: Simplify 0.5 into 0.5 12.051 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0)) in n 12.051 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.051 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.051 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.051 * [taylor]: Taking taylor expansion of 0.5 in n 12.051 * [backup-simplify]: Simplify 0.5 into 0.5 12.051 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.051 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.051 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.051 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.051 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.051 * [taylor]: Taking taylor expansion of 1.0 in n 12.051 * [backup-simplify]: Simplify 1.0 into 1.0 12.051 * [taylor]: Taking taylor expansion of (log PI) in n 12.052 * [taylor]: Taking taylor expansion of PI in n 12.052 * [backup-simplify]: Simplify PI into PI 12.052 * [backup-simplify]: Simplify (log PI) into (log PI) 12.053 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.055 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.055 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.055 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.055 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.055 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.055 * [taylor]: Taking taylor expansion of 1.0 in n 12.055 * [backup-simplify]: Simplify 1.0 into 1.0 12.055 * [taylor]: Taking taylor expansion of (log n) in n 12.055 * [taylor]: Taking taylor expansion of n in n 12.055 * [backup-simplify]: Simplify 0 into 0 12.055 * [backup-simplify]: Simplify 1 into 1 12.055 * [backup-simplify]: Simplify (log 1) into 0 12.056 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.056 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.056 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.056 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.056 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.056 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.056 * [taylor]: Taking taylor expansion of 1.0 in n 12.056 * [backup-simplify]: Simplify 1.0 into 1.0 12.056 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.056 * [taylor]: Taking taylor expansion of 2.0 in n 12.056 * [backup-simplify]: Simplify 2.0 into 2.0 12.057 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.057 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.059 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.060 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 12.061 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 12.062 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 12.064 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 12.065 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 12.065 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.065 * [taylor]: Taking taylor expansion of 2.0 in n 12.065 * [backup-simplify]: Simplify 2.0 into 2.0 12.065 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.066 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 12.067 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (+ (log PI) (log n))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log PI) (log n))) 12.068 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (+ (log PI) (log n)))) into (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log PI) (log n)))) 12.069 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (log 2.0)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0)) 12.070 * [backup-simplify]: Simplify (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) into (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log 2.0))) 12.072 * [backup-simplify]: Simplify (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (+ (log PI) (log n)))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log 2.0)))) into (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI))))) 12.076 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)))))) into (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log 2.0)))))) 12.079 * [backup-simplify]: Simplify (- (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log n))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log PI))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (log 2.0)))))) into (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)))))) 12.080 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 12.080 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log 2.0))) into 0 12.081 * [backup-simplify]: Simplify (* (exp (* 1.0 (log 2.0))) (+ (* (/ (pow 0 1) 1)))) into 0 12.082 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 1 1)))) 1) into 0 12.082 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.083 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log n))) into 0 12.083 * [backup-simplify]: Simplify (* (exp (* 1.0 (log n))) (+ (* (/ (pow 0 1) 1)))) into 0 12.084 * [backup-simplify]: Simplify (+ (* (pow n 1.0) 0) (* 0 (pow 2.0 1.0))) into 0 12.085 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 12.085 * [backup-simplify]: Simplify (+ (* 1.0 0) (* 0 (log PI))) into 0 12.086 * [backup-simplify]: Simplify (* (exp (* 1.0 (log PI))) (+ (* (/ (pow 0 1) 1)))) into 0 12.087 * [backup-simplify]: Simplify (+ (* (pow PI 1.0) 0) (* 0 (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0))) into 0 12.088 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1)))) 1) into 0 12.090 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)))) into 0 12.091 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.091 * [backup-simplify]: Simplify 0 into 0 12.091 * [backup-simplify]: Simplify (+ (* n 0) (+ (* 0 0) (* 0 PI))) into 0 12.092 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* n PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* n PI) 1)))) 2) into 0 12.093 * [backup-simplify]: Simplify (- 0) into 0 12.093 * [backup-simplify]: Simplify (+ 0 0) into 0 12.094 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.095 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log (* n PI))))) into 0 12.096 * [backup-simplify]: Simplify (* (exp (* 0.5 (log (* n PI)))) (+ (* (/ (pow (- (* 0.5 (log (* n PI)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (log (* n PI)) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5))) 12.100 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 12.100 * [backup-simplify]: Simplify (- 0) into 0 12.101 * [backup-simplify]: Simplify (+ 0 0) into 0 12.102 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 -1) (* 0 1.0))) into 0 12.103 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* (- 0.5) 0) (* 0 (log 2.0)))) into 0 12.115 * [backup-simplify]: Simplify (* (exp (* 0.5 (log 2.0))) (+ (* (/ (pow (- (* 0.5 (log 2.0))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* 0.125 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) 12.122 * [backup-simplify]: Simplify (+ (* (pow 2.0 0.5) (* 0.125 (* (pow (log (* n PI)) 2) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)))) (+ (* (* -0.5 (* (pow (pow 2.0 1.0) 0.5) (log 2.0))) (* -0.5 (* (log (* n PI)) (pow (* (pow n 1.0) (pow PI 1.0)) 0.5)))) (* (* 0.125 (* (pow (pow 2.0 1.0) 0.5) (pow (log 2.0) 2))) (pow (* n PI) 0.5)))) into (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* n PI)) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* n PI)) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))))) 12.122 * [taylor]: Taking taylor expansion of (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* n PI)) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* n PI)) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))))) in n 12.122 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* n PI)) 2))) in n 12.122 * [taylor]: Taking taylor expansion of 0.125 in n 12.122 * [backup-simplify]: Simplify 0.125 into 0.125 12.122 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log (* n PI)) 2)) in n 12.122 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.122 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.122 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.122 * [taylor]: Taking taylor expansion of 0.5 in n 12.122 * [backup-simplify]: Simplify 0.5 into 0.5 12.122 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.122 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.122 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.122 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.122 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.122 * [taylor]: Taking taylor expansion of 1.0 in n 12.122 * [backup-simplify]: Simplify 1.0 into 1.0 12.122 * [taylor]: Taking taylor expansion of (log PI) in n 12.122 * [taylor]: Taking taylor expansion of PI in n 12.122 * [backup-simplify]: Simplify PI into PI 12.123 * [backup-simplify]: Simplify (log PI) into (log PI) 12.123 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.124 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.124 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.124 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.124 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.125 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.125 * [taylor]: Taking taylor expansion of 1.0 in n 12.125 * [backup-simplify]: Simplify 1.0 into 1.0 12.125 * [taylor]: Taking taylor expansion of (log n) in n 12.125 * [taylor]: Taking taylor expansion of n in n 12.125 * [backup-simplify]: Simplify 0 into 0 12.125 * [backup-simplify]: Simplify 1 into 1 12.125 * [backup-simplify]: Simplify (log 1) into 0 12.125 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.125 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.125 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.125 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.125 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.125 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.125 * [taylor]: Taking taylor expansion of 1.0 in n 12.125 * [backup-simplify]: Simplify 1.0 into 1.0 12.125 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.125 * [taylor]: Taking taylor expansion of 2.0 in n 12.125 * [backup-simplify]: Simplify 2.0 into 2.0 12.126 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.126 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.127 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.128 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 12.128 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 12.129 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 12.130 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 12.131 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 12.131 * [taylor]: Taking taylor expansion of (pow (log (* n PI)) 2) in n 12.131 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 12.131 * [taylor]: Taking taylor expansion of (* n PI) in n 12.131 * [taylor]: Taking taylor expansion of n in n 12.131 * [backup-simplify]: Simplify 0 into 0 12.131 * [backup-simplify]: Simplify 1 into 1 12.131 * [taylor]: Taking taylor expansion of PI in n 12.131 * [backup-simplify]: Simplify PI into PI 12.131 * [backup-simplify]: Simplify (* 0 PI) into 0 12.132 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.133 * [backup-simplify]: Simplify (log PI) into (log PI) 12.133 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 12.133 * [taylor]: Taking taylor expansion of (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* n PI)) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2)))) in n 12.133 * [taylor]: Taking taylor expansion of (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* n PI)) (log 2.0)))) in n 12.133 * [taylor]: Taking taylor expansion of 0.25 in n 12.133 * [backup-simplify]: Simplify 0.25 into 0.25 12.133 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log (* n PI)) (log 2.0))) in n 12.133 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.133 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.133 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.133 * [taylor]: Taking taylor expansion of 0.5 in n 12.133 * [backup-simplify]: Simplify 0.5 into 0.5 12.133 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.133 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.133 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.133 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.133 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.134 * [taylor]: Taking taylor expansion of 1.0 in n 12.134 * [backup-simplify]: Simplify 1.0 into 1.0 12.134 * [taylor]: Taking taylor expansion of (log PI) in n 12.134 * [taylor]: Taking taylor expansion of PI in n 12.134 * [backup-simplify]: Simplify PI into PI 12.134 * [backup-simplify]: Simplify (log PI) into (log PI) 12.134 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.136 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.136 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.136 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.136 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.136 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.136 * [taylor]: Taking taylor expansion of 1.0 in n 12.136 * [backup-simplify]: Simplify 1.0 into 1.0 12.136 * [taylor]: Taking taylor expansion of (log n) in n 12.136 * [taylor]: Taking taylor expansion of n in n 12.136 * [backup-simplify]: Simplify 0 into 0 12.136 * [backup-simplify]: Simplify 1 into 1 12.136 * [backup-simplify]: Simplify (log 1) into 0 12.136 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.136 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.137 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.137 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.137 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.137 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.137 * [taylor]: Taking taylor expansion of 1.0 in n 12.137 * [backup-simplify]: Simplify 1.0 into 1.0 12.137 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.137 * [taylor]: Taking taylor expansion of 2.0 in n 12.137 * [backup-simplify]: Simplify 2.0 into 2.0 12.137 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.137 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.138 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.139 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 12.140 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 12.140 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 12.141 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 12.142 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 12.142 * [taylor]: Taking taylor expansion of (* (log (* n PI)) (log 2.0)) in n 12.142 * [taylor]: Taking taylor expansion of (log (* n PI)) in n 12.142 * [taylor]: Taking taylor expansion of (* n PI) in n 12.142 * [taylor]: Taking taylor expansion of n in n 12.142 * [backup-simplify]: Simplify 0 into 0 12.142 * [backup-simplify]: Simplify 1 into 1 12.142 * [taylor]: Taking taylor expansion of PI in n 12.142 * [backup-simplify]: Simplify PI into PI 12.143 * [backup-simplify]: Simplify (* 0 PI) into 0 12.143 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 12.144 * [backup-simplify]: Simplify (log PI) into (log PI) 12.144 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.144 * [taylor]: Taking taylor expansion of 2.0 in n 12.144 * [backup-simplify]: Simplify 2.0 into 2.0 12.144 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.144 * [taylor]: Taking taylor expansion of (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))) in n 12.144 * [taylor]: Taking taylor expansion of 0.125 in n 12.144 * [backup-simplify]: Simplify 0.125 into 0.125 12.144 * [taylor]: Taking taylor expansion of (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2)) in n 12.144 * [taylor]: Taking taylor expansion of (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) in n 12.144 * [taylor]: Taking taylor expansion of (exp (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))))) in n 12.144 * [taylor]: Taking taylor expansion of (* 0.5 (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))))) in n 12.144 * [taylor]: Taking taylor expansion of 0.5 in n 12.144 * [backup-simplify]: Simplify 0.5 into 0.5 12.144 * [taylor]: Taking taylor expansion of (log (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0)))) in n 12.144 * [taylor]: Taking taylor expansion of (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) in n 12.144 * [taylor]: Taking taylor expansion of (pow PI 1.0) in n 12.144 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log PI))) in n 12.144 * [taylor]: Taking taylor expansion of (* 1.0 (log PI)) in n 12.144 * [taylor]: Taking taylor expansion of 1.0 in n 12.144 * [backup-simplify]: Simplify 1.0 into 1.0 12.144 * [taylor]: Taking taylor expansion of (log PI) in n 12.144 * [taylor]: Taking taylor expansion of PI in n 12.144 * [backup-simplify]: Simplify PI into PI 12.145 * [backup-simplify]: Simplify (log PI) into (log PI) 12.150 * [backup-simplify]: Simplify (* 1.0 (log PI)) into (* 1.0 (log PI)) 12.151 * [backup-simplify]: Simplify (exp (* 1.0 (log PI))) into (pow PI 1.0) 12.151 * [taylor]: Taking taylor expansion of (* (pow n 1.0) (pow 2.0 1.0)) in n 12.151 * [taylor]: Taking taylor expansion of (pow n 1.0) in n 12.151 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log n))) in n 12.151 * [taylor]: Taking taylor expansion of (* 1.0 (log n)) in n 12.151 * [taylor]: Taking taylor expansion of 1.0 in n 12.151 * [backup-simplify]: Simplify 1.0 into 1.0 12.151 * [taylor]: Taking taylor expansion of (log n) in n 12.151 * [taylor]: Taking taylor expansion of n in n 12.151 * [backup-simplify]: Simplify 0 into 0 12.151 * [backup-simplify]: Simplify 1 into 1 12.152 * [backup-simplify]: Simplify (log 1) into 0 12.152 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) 0) into (log n) 12.152 * [backup-simplify]: Simplify (* 1.0 (log n)) into (* 1.0 (log n)) 12.152 * [backup-simplify]: Simplify (exp (* 1.0 (log n))) into (pow n 1.0) 12.152 * [taylor]: Taking taylor expansion of (pow 2.0 1.0) in n 12.152 * [taylor]: Taking taylor expansion of (exp (* 1.0 (log 2.0))) in n 12.152 * [taylor]: Taking taylor expansion of (* 1.0 (log 2.0)) in n 12.152 * [taylor]: Taking taylor expansion of 1.0 in n 12.152 * [backup-simplify]: Simplify 1.0 into 1.0 12.152 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.152 * [taylor]: Taking taylor expansion of 2.0 in n 12.152 * [backup-simplify]: Simplify 2.0 into 2.0 12.153 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.153 * [backup-simplify]: Simplify (* 1.0 (log 2.0)) into (* 1.0 (log 2.0)) 12.154 * [backup-simplify]: Simplify (exp (* 1.0 (log 2.0))) into (pow 2.0 1.0) 12.154 * [backup-simplify]: Simplify (* (pow n 1.0) (pow 2.0 1.0)) into (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0) 12.155 * [backup-simplify]: Simplify (* (pow PI 1.0) (pow (* (pow n 1.0) (pow 2.0 1.0)) 1.0)) into (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 12.156 * [backup-simplify]: Simplify (log (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0)) into (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0)) 12.157 * [backup-simplify]: Simplify (* 0.5 (log (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0))) into (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0))) 12.158 * [backup-simplify]: Simplify (exp (* 0.5 (log (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0)))) into (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) 12.158 * [taylor]: Taking taylor expansion of (pow (log 2.0) 2) in n 12.158 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.158 * [taylor]: Taking taylor expansion of 2.0 in n 12.158 * [backup-simplify]: Simplify 2.0 into 2.0 12.159 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.160 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 12.160 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 12.161 * [backup-simplify]: Simplify (* (+ (log PI) (log n)) (+ (log PI) (log n))) into (pow (+ (log PI) (log n)) 2) 12.163 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (+ (log PI) (log n)) 2)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log PI) (log n)) 2)) 12.165 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (+ (log PI) (log n)) 2))) into (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log PI) (log n)) 2))) 12.166 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log PI)) into (+ (log PI) (log n)) 12.167 * [backup-simplify]: Simplify (* (+ (log PI) (log n)) (log 2.0)) into (* (+ (log PI) (log n)) (log 2.0)) 12.170 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (* (+ (log PI) (log n)) (log 2.0))) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (+ (log PI) (log n)) (log 2.0))) 12.172 * [backup-simplify]: Simplify (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (+ (log PI) (log n)) (log 2.0)))) into (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (+ (log PI) (log n)) (log 2.0)))) 12.173 * [backup-simplify]: Simplify (* (log 2.0) (log 2.0)) into (pow (log 2.0) 2) 12.175 * [backup-simplify]: Simplify (* (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 0.5) (pow (log 2.0) 2)) into (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2)) 12.178 * [backup-simplify]: Simplify (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))) into (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log 2.0) 2))) 12.182 * [backup-simplify]: Simplify (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (+ (log PI) (log n)) (log 2.0)))) (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log 2.0) 2)))) into (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2))))) 12.192 * [backup-simplify]: Simplify (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (+ (log PI) (log n)) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2)))))) into (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log n)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log 2.0) 2))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (log 2.0)))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))) 12.208 * [backup-simplify]: Simplify (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log n)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log 2.0) 2))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) (log 2.0)))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log n) 2))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log PI) 2)))))))) into (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log n)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2)))))))) 12.232 * [backup-simplify]: Simplify (+ (* (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log n) 2))) (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) (log n)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log PI) (log 2.0)))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (pow (log PI) 2))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (log n) (log 2.0)))) (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (pow (log 2.0) 2)))))))) (pow (* 1 k) 2)) (+ (* (- (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log n))) (+ (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log 2.0))) (* 0.5 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (log PI)))))) (* 1 k)) (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5))) into (- (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow k 2) (* (log PI) (log n))))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log n) 2) (pow k 2)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow k 2) (* (log PI) (log 2.0))))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log PI) 2) (pow k 2)))) (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow k 2) (pow (log 2.0) 2)))) (+ (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow k 2) (* (log n) (log 2.0))))))))))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* k (log 2.0)))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) k))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k)))))) 12.232 * [backup-simplify]: Simplify (* (pow 2.0 (/ (- 1.0 (/ 1 k)) 2.0)) (pow (* (/ 1 n) PI) (/ (- 1.0 (/ 1 k)) 2.0))) into (* (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) 12.232 * [approximate]: Taking taylor expansion of (* (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in (k n) around 0 12.232 * [taylor]: Taking taylor expansion of (* (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in n 12.232 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in n 12.233 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in n 12.233 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in n 12.233 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.233 * [taylor]: Taking taylor expansion of 0.5 in n 12.233 * [backup-simplify]: Simplify 0.5 into 0.5 12.233 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.233 * [taylor]: Taking taylor expansion of 1.0 in n 12.233 * [backup-simplify]: Simplify 1.0 into 1.0 12.233 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.233 * [taylor]: Taking taylor expansion of k in n 12.233 * [backup-simplify]: Simplify k into k 12.233 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.233 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 12.233 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.233 * [taylor]: Taking taylor expansion of PI in n 12.233 * [backup-simplify]: Simplify PI into PI 12.233 * [taylor]: Taking taylor expansion of n in n 12.233 * [backup-simplify]: Simplify 0 into 0 12.233 * [backup-simplify]: Simplify 1 into 1 12.234 * [backup-simplify]: Simplify (/ PI 1) into PI 12.234 * [backup-simplify]: Simplify (log PI) into (log PI) 12.234 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.234 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.234 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.235 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 12.236 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log PI) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n)))) 12.237 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) 12.237 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in n 12.237 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in n 12.237 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in n 12.237 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 12.237 * [taylor]: Taking taylor expansion of 0.5 in n 12.237 * [backup-simplify]: Simplify 0.5 into 0.5 12.237 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.237 * [taylor]: Taking taylor expansion of 1.0 in n 12.237 * [backup-simplify]: Simplify 1.0 into 1.0 12.237 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.237 * [taylor]: Taking taylor expansion of k in n 12.237 * [backup-simplify]: Simplify k into k 12.237 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.237 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.237 * [taylor]: Taking taylor expansion of 2.0 in n 12.237 * [backup-simplify]: Simplify 2.0 into 2.0 12.238 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.238 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.238 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.238 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 12.238 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) into (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))) 12.239 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 12.239 * [taylor]: Taking taylor expansion of (* (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in k 12.239 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.239 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 12.239 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 12.239 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.239 * [taylor]: Taking taylor expansion of 0.5 in k 12.239 * [backup-simplify]: Simplify 0.5 into 0.5 12.239 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.239 * [taylor]: Taking taylor expansion of 1.0 in k 12.239 * [backup-simplify]: Simplify 1.0 into 1.0 12.239 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.239 * [taylor]: Taking taylor expansion of k in k 12.239 * [backup-simplify]: Simplify 0 into 0 12.239 * [backup-simplify]: Simplify 1 into 1 12.240 * [backup-simplify]: Simplify (/ 1 1) into 1 12.240 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 12.240 * [taylor]: Taking taylor expansion of (/ PI n) in k 12.240 * [taylor]: Taking taylor expansion of PI in k 12.240 * [backup-simplify]: Simplify PI into PI 12.240 * [taylor]: Taking taylor expansion of n in k 12.240 * [backup-simplify]: Simplify n into n 12.240 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 12.240 * [backup-simplify]: Simplify (log (/ PI n)) into (log (/ PI n)) 12.240 * [backup-simplify]: Simplify (- 1) into -1 12.241 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.241 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.241 * [backup-simplify]: Simplify (* -0.5 (log (/ PI n))) into (* -0.5 (log (/ PI n))) 12.242 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ PI n))))) 12.242 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 12.242 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 12.242 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 12.242 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.242 * [taylor]: Taking taylor expansion of 0.5 in k 12.242 * [backup-simplify]: Simplify 0.5 into 0.5 12.242 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.242 * [taylor]: Taking taylor expansion of 1.0 in k 12.242 * [backup-simplify]: Simplify 1.0 into 1.0 12.242 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.242 * [taylor]: Taking taylor expansion of k in k 12.242 * [backup-simplify]: Simplify 0 into 0 12.242 * [backup-simplify]: Simplify 1 into 1 12.242 * [backup-simplify]: Simplify (/ 1 1) into 1 12.242 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.242 * [taylor]: Taking taylor expansion of 2.0 in k 12.242 * [backup-simplify]: Simplify 2.0 into 2.0 12.243 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.243 * [backup-simplify]: Simplify (- 1) into -1 12.244 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.244 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.245 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 12.245 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 12.246 * [taylor]: Taking taylor expansion of (* (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) (pow 2.0 (* 0.5 (- 1.0 (/ 1 k))))) in k 12.246 * [taylor]: Taking taylor expansion of (pow (/ PI n) (* 0.5 (- 1.0 (/ 1 k)))) in k 12.246 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) in k 12.246 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n))) in k 12.246 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.246 * [taylor]: Taking taylor expansion of 0.5 in k 12.246 * [backup-simplify]: Simplify 0.5 into 0.5 12.246 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.246 * [taylor]: Taking taylor expansion of 1.0 in k 12.246 * [backup-simplify]: Simplify 1.0 into 1.0 12.246 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.246 * [taylor]: Taking taylor expansion of k in k 12.246 * [backup-simplify]: Simplify 0 into 0 12.246 * [backup-simplify]: Simplify 1 into 1 12.246 * [backup-simplify]: Simplify (/ 1 1) into 1 12.246 * [taylor]: Taking taylor expansion of (log (/ PI n)) in k 12.246 * [taylor]: Taking taylor expansion of (/ PI n) in k 12.246 * [taylor]: Taking taylor expansion of PI in k 12.246 * [backup-simplify]: Simplify PI into PI 12.246 * [taylor]: Taking taylor expansion of n in k 12.246 * [backup-simplify]: Simplify n into n 12.247 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 12.247 * [backup-simplify]: Simplify (log (/ PI n)) into (log (/ PI n)) 12.247 * [backup-simplify]: Simplify (- 1) into -1 12.247 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.248 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.248 * [backup-simplify]: Simplify (* -0.5 (log (/ PI n))) into (* -0.5 (log (/ PI n))) 12.248 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (/ PI n)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ PI n))))) 12.248 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (- 1.0 (/ 1 k)))) in k 12.248 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) in k 12.248 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0)) in k 12.248 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 12.248 * [taylor]: Taking taylor expansion of 0.5 in k 12.248 * [backup-simplify]: Simplify 0.5 into 0.5 12.248 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 12.248 * [taylor]: Taking taylor expansion of 1.0 in k 12.248 * [backup-simplify]: Simplify 1.0 into 1.0 12.248 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.248 * [taylor]: Taking taylor expansion of k in k 12.249 * [backup-simplify]: Simplify 0 into 0 12.249 * [backup-simplify]: Simplify 1 into 1 12.249 * [backup-simplify]: Simplify (/ 1 1) into 1 12.249 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.249 * [taylor]: Taking taylor expansion of 2.0 in k 12.249 * [backup-simplify]: Simplify 2.0 into 2.0 12.249 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.250 * [backup-simplify]: Simplify (- 1) into -1 12.250 * [backup-simplify]: Simplify (+ 0 -1) into -1 12.251 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 12.251 * [backup-simplify]: Simplify (* -0.5 (log 2.0)) into (* -0.5 (log 2.0)) 12.252 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log 2.0))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 12.253 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ PI n))))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ PI n))))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))) 12.253 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ PI n))))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))) in n 12.253 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ PI n))))) in n 12.253 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ PI n)))) in n 12.253 * [taylor]: Taking taylor expansion of 0.5 in n 12.253 * [backup-simplify]: Simplify 0.5 into 0.5 12.253 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log (/ PI n))) in n 12.253 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.253 * [taylor]: Taking taylor expansion of 1.0 in n 12.253 * [backup-simplify]: Simplify 1.0 into 1.0 12.253 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.253 * [taylor]: Taking taylor expansion of k in n 12.253 * [backup-simplify]: Simplify k into k 12.253 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.253 * [taylor]: Taking taylor expansion of (log (/ PI n)) in n 12.253 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.253 * [taylor]: Taking taylor expansion of PI in n 12.253 * [backup-simplify]: Simplify PI into PI 12.253 * [taylor]: Taking taylor expansion of n in n 12.253 * [backup-simplify]: Simplify 0 into 0 12.253 * [backup-simplify]: Simplify 1 into 1 12.254 * [backup-simplify]: Simplify (/ PI 1) into PI 12.254 * [backup-simplify]: Simplify (log PI) into (log PI) 12.254 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.255 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.255 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 12.256 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (- (log PI) (log n))) into (* (- 1.0 (/ 1 k)) (- (log PI) (log n))) 12.257 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n)))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n)))) 12.257 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) 12.257 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) in n 12.257 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))) in n 12.257 * [taylor]: Taking taylor expansion of 0.5 in n 12.257 * [backup-simplify]: Simplify 0.5 into 0.5 12.257 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (log 2.0)) in n 12.257 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 12.257 * [taylor]: Taking taylor expansion of 1.0 in n 12.257 * [backup-simplify]: Simplify 1.0 into 1.0 12.257 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.257 * [taylor]: Taking taylor expansion of k in n 12.258 * [backup-simplify]: Simplify k into k 12.258 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.258 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.258 * [taylor]: Taking taylor expansion of 2.0 in n 12.258 * [backup-simplify]: Simplify 2.0 into 2.0 12.258 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.258 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 12.258 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 12.259 * [backup-simplify]: Simplify (* (- 1.0 (/ 1 k)) (log 2.0)) into (* (- 1.0 (/ 1 k)) (log 2.0)) 12.259 * [backup-simplify]: Simplify (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))) into (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))) 12.260 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) 12.261 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n)))))) 12.262 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n)))))) into (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n)))))) 12.263 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ PI n))))) 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) into 0 12.263 * [taylor]: Taking taylor expansion of 0 in n 12.263 * [backup-simplify]: Simplify 0 into 0 12.263 * [backup-simplify]: Simplify 0 into 0 12.264 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 12.264 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.265 * [backup-simplify]: Simplify (- 0) into 0 12.265 * [backup-simplify]: Simplify (+ 0 0) into 0 12.266 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (log 2.0))) into 0 12.267 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (log 2.0)))) into 0 12.268 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.269 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.271 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow PI 1)))) 1) into 0 12.271 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.271 * [backup-simplify]: Simplify (- 0) into 0 12.272 * [backup-simplify]: Simplify (+ 0 0) into 0 12.272 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 12.273 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (* 0 (- (log PI) (log n)))) into 0 12.274 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) into 0 12.276 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 12.277 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))) into 0 12.277 * [backup-simplify]: Simplify 0 into 0 12.278 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ PI n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) into 0 12.278 * [taylor]: Taking taylor expansion of 0 in n 12.278 * [backup-simplify]: Simplify 0 into 0 12.278 * [backup-simplify]: Simplify 0 into 0 12.278 * [backup-simplify]: Simplify 0 into 0 12.281 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 12.282 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.282 * [backup-simplify]: Simplify (- 0) into 0 12.282 * [backup-simplify]: Simplify (+ 0 0) into 0 12.283 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (+ (* 0 0) (* 0 (log 2.0)))) into 0 12.285 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- 1.0 (/ 1 k)) (log 2.0))))) into 0 12.287 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.288 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.290 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow PI 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow PI 1)))) 2) into 0 12.290 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.290 * [backup-simplify]: Simplify (- 0) into 0 12.291 * [backup-simplify]: Simplify (+ 0 0) into 0 12.295 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log PI)) into (- (log PI) (log n)) 12.296 * [backup-simplify]: Simplify (+ (* (- 1.0 (/ 1 k)) 0) (+ (* 0 0) (* 0 (- (log PI) (log n))))) into 0 12.297 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- 1.0 (/ 1 k)) (- (log PI) (log n)))))) into 0 12.298 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.299 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log PI) (log n))))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0))))))) into 0 12.299 * [backup-simplify]: Simplify 0 into 0 12.300 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (/ PI n))))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log 2.0)))))))) into 0 12.300 * [taylor]: Taking taylor expansion of 0 in n 12.300 * [backup-simplify]: Simplify 0 into 0 12.300 * [backup-simplify]: Simplify 0 into 0 12.301 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (log 2.0)))) (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log PI) (log (/ 1 n))))))) into (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n))))))) 12.301 * [backup-simplify]: Simplify (* (pow 2.0 (/ (- 1.0 (/ 1 (- k))) 2.0)) (pow (* (/ 1 (- n)) PI) (/ (- 1.0 (/ 1 (- k))) 2.0))) into (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) 12.301 * [approximate]: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) in (k n) around 0 12.301 * [taylor]: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) in n 12.301 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 12.301 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in n 12.301 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in n 12.301 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.301 * [taylor]: Taking taylor expansion of 0.5 in n 12.301 * [backup-simplify]: Simplify 0.5 into 0.5 12.301 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.301 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.301 * [taylor]: Taking taylor expansion of k in n 12.301 * [backup-simplify]: Simplify k into k 12.301 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.301 * [taylor]: Taking taylor expansion of 1.0 in n 12.301 * [backup-simplify]: Simplify 1.0 into 1.0 12.301 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 12.301 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 12.301 * [taylor]: Taking taylor expansion of -1 in n 12.301 * [backup-simplify]: Simplify -1 into -1 12.302 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.302 * [taylor]: Taking taylor expansion of PI in n 12.302 * [backup-simplify]: Simplify PI into PI 12.302 * [taylor]: Taking taylor expansion of n in n 12.302 * [backup-simplify]: Simplify 0 into 0 12.302 * [backup-simplify]: Simplify 1 into 1 12.302 * [backup-simplify]: Simplify (/ PI 1) into PI 12.302 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 12.303 * [backup-simplify]: Simplify (log (* -1 PI)) into (log (* -1 PI)) 12.303 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.303 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.304 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 12.305 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -1 PI)) (log n))) into (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))) 12.305 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) 12.305 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in n 12.305 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in n 12.305 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in n 12.305 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 12.305 * [taylor]: Taking taylor expansion of 0.5 in n 12.305 * [backup-simplify]: Simplify 0.5 into 0.5 12.306 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.306 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.306 * [taylor]: Taking taylor expansion of k in n 12.306 * [backup-simplify]: Simplify k into k 12.306 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.306 * [taylor]: Taking taylor expansion of 1.0 in n 12.306 * [backup-simplify]: Simplify 1.0 into 1.0 12.306 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.306 * [taylor]: Taking taylor expansion of 2.0 in n 12.306 * [backup-simplify]: Simplify 2.0 into 2.0 12.306 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.306 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.306 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 12.306 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) into (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) 12.307 * [backup-simplify]: Simplify (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.307 * [taylor]: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) in k 12.307 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.307 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 12.307 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 12.307 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.307 * [taylor]: Taking taylor expansion of 0.5 in k 12.307 * [backup-simplify]: Simplify 0.5 into 0.5 12.307 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.307 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.307 * [taylor]: Taking taylor expansion of k in k 12.307 * [backup-simplify]: Simplify 0 into 0 12.307 * [backup-simplify]: Simplify 1 into 1 12.307 * [backup-simplify]: Simplify (/ 1 1) into 1 12.307 * [taylor]: Taking taylor expansion of 1.0 in k 12.307 * [backup-simplify]: Simplify 1.0 into 1.0 12.307 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 12.307 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 12.307 * [taylor]: Taking taylor expansion of -1 in k 12.307 * [backup-simplify]: Simplify -1 into -1 12.307 * [taylor]: Taking taylor expansion of (/ PI n) in k 12.307 * [taylor]: Taking taylor expansion of PI in k 12.307 * [backup-simplify]: Simplify PI into PI 12.307 * [taylor]: Taking taylor expansion of n in k 12.307 * [backup-simplify]: Simplify n into n 12.307 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 12.307 * [backup-simplify]: Simplify (* -1 (/ PI n)) into (* -1 (/ PI n)) 12.307 * [backup-simplify]: Simplify (log (* -1 (/ PI n))) into (log (* -1 (/ PI n))) 12.308 * [backup-simplify]: Simplify (+ 1 0) into 1 12.308 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.308 * [backup-simplify]: Simplify (* 0.5 (log (* -1 (/ PI n)))) into (* 0.5 (log (* -1 (/ PI n)))) 12.308 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) into (exp (* 0.5 (* (log (* -1 (/ PI n))) (+ (/ 1 k) 1.0)))) 12.308 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 12.308 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 12.308 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 12.308 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.308 * [taylor]: Taking taylor expansion of 0.5 in k 12.308 * [backup-simplify]: Simplify 0.5 into 0.5 12.308 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.308 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.308 * [taylor]: Taking taylor expansion of k in k 12.308 * [backup-simplify]: Simplify 0 into 0 12.308 * [backup-simplify]: Simplify 1 into 1 12.309 * [backup-simplify]: Simplify (/ 1 1) into 1 12.309 * [taylor]: Taking taylor expansion of 1.0 in k 12.309 * [backup-simplify]: Simplify 1.0 into 1.0 12.309 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.309 * [taylor]: Taking taylor expansion of 2.0 in k 12.309 * [backup-simplify]: Simplify 2.0 into 2.0 12.309 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.310 * [backup-simplify]: Simplify (+ 1 0) into 1 12.310 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.311 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.311 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.312 * [taylor]: Taking taylor expansion of (* (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0)))) in k 12.312 * [taylor]: Taking taylor expansion of (pow (* -1 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 12.312 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) in k 12.312 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n)))) in k 12.312 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.312 * [taylor]: Taking taylor expansion of 0.5 in k 12.312 * [backup-simplify]: Simplify 0.5 into 0.5 12.312 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.312 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.312 * [taylor]: Taking taylor expansion of k in k 12.312 * [backup-simplify]: Simplify 0 into 0 12.312 * [backup-simplify]: Simplify 1 into 1 12.312 * [backup-simplify]: Simplify (/ 1 1) into 1 12.312 * [taylor]: Taking taylor expansion of 1.0 in k 12.312 * [backup-simplify]: Simplify 1.0 into 1.0 12.312 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in k 12.312 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in k 12.312 * [taylor]: Taking taylor expansion of -1 in k 12.312 * [backup-simplify]: Simplify -1 into -1 12.312 * [taylor]: Taking taylor expansion of (/ PI n) in k 12.312 * [taylor]: Taking taylor expansion of PI in k 12.312 * [backup-simplify]: Simplify PI into PI 12.313 * [taylor]: Taking taylor expansion of n in k 12.313 * [backup-simplify]: Simplify n into n 12.313 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 12.313 * [backup-simplify]: Simplify (* -1 (/ PI n)) into (* -1 (/ PI n)) 12.313 * [backup-simplify]: Simplify (log (* -1 (/ PI n))) into (log (* -1 (/ PI n))) 12.313 * [backup-simplify]: Simplify (+ 1 0) into 1 12.314 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.314 * [backup-simplify]: Simplify (* 0.5 (log (* -1 (/ PI n)))) into (* 0.5 (log (* -1 (/ PI n)))) 12.314 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -1 (/ PI n))))) into (exp (* 0.5 (* (log (* -1 (/ PI n))) (+ (/ 1 k) 1.0)))) 12.314 * [taylor]: Taking taylor expansion of (pow 2.0 (* 0.5 (+ (/ 1 k) 1.0))) in k 12.314 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) in k 12.314 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0)) in k 12.314 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 12.314 * [taylor]: Taking taylor expansion of 0.5 in k 12.314 * [backup-simplify]: Simplify 0.5 into 0.5 12.314 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 12.314 * [taylor]: Taking taylor expansion of (/ 1 k) in k 12.314 * [taylor]: Taking taylor expansion of k in k 12.314 * [backup-simplify]: Simplify 0 into 0 12.314 * [backup-simplify]: Simplify 1 into 1 12.315 * [backup-simplify]: Simplify (/ 1 1) into 1 12.315 * [taylor]: Taking taylor expansion of 1.0 in k 12.315 * [backup-simplify]: Simplify 1.0 into 1.0 12.315 * [taylor]: Taking taylor expansion of (log 2.0) in k 12.315 * [taylor]: Taking taylor expansion of 2.0 in k 12.315 * [backup-simplify]: Simplify 2.0 into 2.0 12.315 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.316 * [backup-simplify]: Simplify (+ 1 0) into 1 12.316 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 12.317 * [backup-simplify]: Simplify (* 0.5 (log 2.0)) into (* 0.5 (log 2.0)) 12.317 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log 2.0))) into (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) 12.318 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (log (* -1 (/ PI n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (log (* -1 (/ PI n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) 12.318 * [taylor]: Taking taylor expansion of (* (exp (* 0.5 (* (log (* -1 (/ PI n))) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))) in n 12.318 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log (* -1 (/ PI n))) (+ (/ 1 k) 1.0)))) in n 12.318 * [taylor]: Taking taylor expansion of (* 0.5 (* (log (* -1 (/ PI n))) (+ (/ 1 k) 1.0))) in n 12.318 * [taylor]: Taking taylor expansion of 0.5 in n 12.318 * [backup-simplify]: Simplify 0.5 into 0.5 12.319 * [taylor]: Taking taylor expansion of (* (log (* -1 (/ PI n))) (+ (/ 1 k) 1.0)) in n 12.319 * [taylor]: Taking taylor expansion of (log (* -1 (/ PI n))) in n 12.319 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 12.319 * [taylor]: Taking taylor expansion of -1 in n 12.319 * [backup-simplify]: Simplify -1 into -1 12.319 * [taylor]: Taking taylor expansion of (/ PI n) in n 12.319 * [taylor]: Taking taylor expansion of PI in n 12.319 * [backup-simplify]: Simplify PI into PI 12.319 * [taylor]: Taking taylor expansion of n in n 12.319 * [backup-simplify]: Simplify 0 into 0 12.319 * [backup-simplify]: Simplify 1 into 1 12.319 * [backup-simplify]: Simplify (/ PI 1) into PI 12.320 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 12.321 * [backup-simplify]: Simplify (log (* -1 PI)) into (log (* -1 PI)) 12.321 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.321 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.321 * [taylor]: Taking taylor expansion of k in n 12.321 * [backup-simplify]: Simplify k into k 12.321 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.321 * [taylor]: Taking taylor expansion of 1.0 in n 12.321 * [backup-simplify]: Simplify 1.0 into 1.0 12.322 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 12.322 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.324 * [backup-simplify]: Simplify (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)) into (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)) 12.325 * [backup-simplify]: Simplify (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))) into (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))) 12.326 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) 12.326 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))) in n 12.326 * [taylor]: Taking taylor expansion of (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))) in n 12.326 * [taylor]: Taking taylor expansion of 0.5 in n 12.326 * [backup-simplify]: Simplify 0.5 into 0.5 12.326 * [taylor]: Taking taylor expansion of (* (log 2.0) (+ (/ 1 k) 1.0)) in n 12.326 * [taylor]: Taking taylor expansion of (log 2.0) in n 12.326 * [taylor]: Taking taylor expansion of 2.0 in n 12.326 * [backup-simplify]: Simplify 2.0 into 2.0 12.327 * [backup-simplify]: Simplify (log 2.0) into (log 2.0) 12.327 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 12.327 * [taylor]: Taking taylor expansion of (/ 1 k) in n 12.327 * [taylor]: Taking taylor expansion of k in n 12.327 * [backup-simplify]: Simplify k into k 12.327 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 12.327 * [taylor]: Taking taylor expansion of 1.0 in n 12.327 * [backup-simplify]: Simplify 1.0 into 1.0 12.327 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 12.327 * [backup-simplify]: Simplify (* (log 2.0) (+ (/ 1 k) 1.0)) into (* (+ (/ 1 k) 1.0) (log 2.0)) 12.328 * [backup-simplify]: Simplify (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))) into (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))) 12.328 * [backup-simplify]: Simplify (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) into (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) 12.330 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))))) 12.332 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))))) into (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))))) 12.333 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* -1 (/ PI n))) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))) into 0 12.333 * [taylor]: Taking taylor expansion of 0 in n 12.333 * [backup-simplify]: Simplify 0 into 0 12.333 * [backup-simplify]: Simplify 0 into 0 12.333 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.333 * [backup-simplify]: Simplify (+ 0 0) into 0 12.334 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow 2.0 1)))) 1) into 0 12.334 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.335 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (+ (/ 1 k) 1.0) (log 2.0)))) into 0 12.336 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.337 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 12.337 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 12.337 * [backup-simplify]: Simplify (+ 0 0) into 0 12.338 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 12.338 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 12.339 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -1 PI) 1)))) 1) into 0 12.340 * [backup-simplify]: Simplify (+ (* (- (log (* -1 PI)) (log n)) 0) (* 0 (+ (/ 1 k) 1.0))) into 0 12.341 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) into 0 12.342 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 12.343 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))))) into 0 12.343 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* -1 (/ PI n))) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0))))))) into 0 12.344 * [taylor]: Taking taylor expansion of 0 in n 12.344 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify 0 into 0 12.344 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.344 * [backup-simplify]: Simplify (+ 0 0) into 0 12.346 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow 2.0 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow 2.0 1)))) 2) into 0 12.347 * [backup-simplify]: Simplify (+ (* (log 2.0) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 12.347 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (+ (/ 1 k) 1.0) (log 2.0))))) into 0 12.348 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.349 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -1 PI))) into (- (log (* -1 PI)) (log n)) 12.350 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 12.350 * [backup-simplify]: Simplify (+ 0 0) into 0 12.350 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 12.351 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 12.353 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -1 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -1 PI) 1)))) 2) into 0 12.354 * [backup-simplify]: Simplify (+ (* (- (log (* -1 PI)) (log n)) 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 12.355 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0))))) into 0 12.356 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 12.358 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (- (log (* -1 PI)) (log n)) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (+ (/ 1 k) 1.0) (log 2.0))))))) into 0 12.358 * [backup-simplify]: Simplify 0 into 0 12.359 * [backup-simplify]: Simplify (+ (* (exp (* 0.5 (* (log (* -1 (/ PI n))) (+ (/ 1 k) 1.0)))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (exp (* 0.5 (* (log 2.0) (+ (/ 1 k) 1.0)))))))) into 0 12.359 * [taylor]: Taking taylor expansion of 0 in n 12.359 * [backup-simplify]: Simplify 0 into 0 12.359 * [backup-simplify]: Simplify 0 into 0 12.360 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (+ (/ 1 (/ 1 (- k))) 1.0) (log 2.0)))) (exp (* 0.5 (* (- (log (* -1 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0))))) into (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (exp (* 0.5 (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1.0 k))))) 12.360 * * * [progress]: simplifying candidates 12.363 * [simplify]: Simplifying: (* (+ (log n) (log PI)) (/ (- 1.0 k) 2.0)) (* (log (* n PI)) (/ (- 1.0 k) 2.0)) (* (log (* n PI)) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ 1.0 2.0)) (pow (* n PI) (/ k 2.0)) (pow (* n PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* n PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* n PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* n PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* n PI) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* n PI) (/ (sqrt (- 1.0 k)) 1)) (pow (* n PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n PI) (/ 1 (sqrt 2.0))) (pow (* n PI) (/ 1 1)) (pow (* n PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* n PI) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* n PI) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n PI) (/ 1 (sqrt 2.0))) (pow (* n PI) (/ 1 1)) (pow (* n PI) 1) (pow (* n PI) (- 1.0 k)) (pow n (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (log (pow (* n PI) (/ (- 1.0 k) 2.0))) (exp (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* n PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* n PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (* (pow (* n PI) (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (pow (* n PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0))) (pow (* n PI) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n PI) (/ (/ (- 1.0 k) 2.0) 2)) (* n PI) (+ (log n) (log PI)) (log (* n PI)) (exp (* n PI)) (* (* (* n n) n) (* (* PI PI) PI)) (* (cbrt (* n PI)) (cbrt (* n PI))) (cbrt (* n PI)) (* (* (* n PI) (* n PI)) (* n PI)) (sqrt (* n PI)) (sqrt (* n PI)) (* (sqrt n) (sqrt PI)) (* (sqrt n) (sqrt PI)) (* n (* (cbrt PI) (cbrt PI))) (* n (sqrt PI)) (* n 1) (* (cbrt n) PI) (* (sqrt n) PI) (* n PI) (- (log 1.0) (log (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (/ (* (* 1.0 1.0) 1.0) (* (* (sqrt k) (sqrt k)) (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (* (cbrt k) (cbrt k)))) (/ (cbrt 1.0) (sqrt (cbrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt 1)) (/ (cbrt 1.0) (sqrt k)) (/ (* (cbrt 1.0) (cbrt 1.0)) (sqrt (sqrt k))) (/ (cbrt 1.0) (sqrt (sqrt k))) (/ (* (cbrt 1.0) (cbrt 1.0)) 1) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (sqrt (* (cbrt k) (cbrt k)))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt 1)) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) 1) (/ (sqrt 1.0) (sqrt k)) (/ 1 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 (sqrt 1)) (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) (/ 1 1) (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ 1.0 (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ 1.0 (sqrt (* (cbrt k) (cbrt k)))) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 (sqrt 1)) (/ 1.0 (sqrt (sqrt k))) (/ 1.0 1) (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 2.0 (* n PI)) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (+ (log n) (log PI)) (/ (- 1.0 k) 2.0))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log (* n PI)) (/ (- 1.0 k) 2.0))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log (* n PI)) (/ (- 1.0 k) 2.0))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow (* n PI) (/ (- 1.0 k) 2.0)))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (+ (log n) (log PI)) (/ (- 1.0 k) 2.0))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log (* n PI)) (/ (- 1.0 k) 2.0))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (* (log (* n PI)) (/ (- 1.0 k) 2.0))) (+ (* (log 2.0) (/ (- 1.0 k) 2.0)) (log (pow (* n PI) (/ (- 1.0 k) 2.0)))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (+ (log n) (log PI)) (/ (- 1.0 k) 2.0))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log (* n PI)) (/ (- 1.0 k) 2.0))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (* (log (* n PI)) (/ (- 1.0 k) 2.0))) (+ (log (pow 2.0 (/ (- 1.0 k) 2.0))) (log (pow (* n PI) (/ (- 1.0 k) 2.0)))) (log (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))) (exp (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (* (pow (* n PI) (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ 1.0 2.0)) (pow (* n PI) (/ 1.0 2.0))) (* (pow 2.0 (/ k 2.0)) (pow (* n PI) (/ k 2.0))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* n PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* n PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (* (cbrt (pow (* n PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* n PI) (/ (- 1.0 k) 2.0))))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) 1) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (/ (- 1.0 k) 2.0) 2))) (* (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ 1.0 2.0))) (* (pow 2.0 (/ 1.0 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (- (+ (exp (* 0.5 (+ (log PI) (log n)))) (+ (* 0.125 (* (exp (* 0.5 (+ (log PI) (log n)))) (* (pow (log PI) 2) (pow k 2)))) (+ (* 0.125 (* (exp (* 0.5 (+ (log PI) (log n)))) (* (pow (log n) 2) (pow k 2)))) (* 0.25 (* (exp (* 0.5 (+ (log PI) (log n)))) (* (log PI) (* (log n) (pow k 2)))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log PI) (log n)))) (* (log n) k))) (* 0.5 (* (exp (* 0.5 (+ (log PI) (log n)))) (* (log PI) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n)))))) (exp (* 0.5 (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1.0 k)))) (* n PI) (* n PI) (* n PI) (- (+ (* +nan.0 (pow k 2)) (- (+ +nan.0 (- (* +nan.0 k)))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- (* +nan.0 (/ 1 (pow k 3)))))))) (- (+ (* +nan.0 (/ 1 (pow k 2))) (- (+ (* +nan.0 (/ 1 k)) (- +nan.0))))) (- (+ (* 0.25 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow k 2) (* (log PI) (log n))))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log n) 2) (pow k 2)))) (+ (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow k 2) (* (log PI) (log 2.0))))) (+ (* 0.125 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (pow (log PI) 2) (pow k 2)))) (+ (* 0.125 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow k 2) (pow (log 2.0) 2)))) (+ (pow (pow (pow (pow (pow (pow (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (* 0.25 (* (pow (* (pow PI 1.0) (* (pow n 1.0) (pow 2.0 1.0))) 0.5) (* (pow k 2) (* (log n) (log 2.0))))))))))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* k (log 2.0)))) (+ (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log PI) k))) (* 0.5 (* (pow (* (pow 2.0 1.0) (* (pow n 1.0) (pow PI 1.0))) 0.5) (* (log n) k)))))) (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (exp (* 0.5 (* (- 1.0 k) (- (log PI) (log (/ 1 n))))))) (* (exp (* 0.5 (* (- 1.0 k) (log 2.0)))) (exp (* 0.5 (* (- (log (* -1 PI)) (log (/ -1 n))) (- 1.0 k))))) 12.369 * * [simplify]: iteration 0: 332 enodes 12.467 * * [simplify]: iteration 1: 891 enodes 12.890 * * [simplify]: iteration 2: 3699 enodes 13.828 * * [simplify]: iteration complete: 5001 enodes 13.829 * * [simplify]: Extracting #0: cost 115 inf + 0 13.831 * * [simplify]: Extracting #1: cost 709 inf + 85 13.838 * * [simplify]: Extracting #2: cost 1309 inf + 4499 13.863 * * [simplify]: Extracting #3: cost 1355 inf + 38847 13.901 * * [simplify]: Extracting #4: cost 1038 inf + 139713 13.958 * * [simplify]: Extracting #5: cost 608 inf + 348777 14.050 * * [simplify]: Extracting #6: cost 298 inf + 553031 14.177 * * [simplify]: Extracting #7: cost 124 inf + 740495 14.308 * * [simplify]: Extracting #8: cost 81 inf + 792471 14.436 * * [simplify]: Extracting #9: cost 82 inf + 797761 14.543 * * [simplify]: Extracting #10: cost 87 inf + 800067 14.677 * * [simplify]: Extracting #11: cost 81 inf + 810554 14.811 * * [simplify]: Extracting #12: cost 57 inf + 848860 14.973 * * [simplify]: Extracting #13: cost 22 inf + 930590 15.112 * * [simplify]: Extracting #14: cost 1 inf + 1002741 15.283 * * [simplify]: Extracting #15: cost 0 inf + 1006709 15.435 * [simplify]: Simplified to: (* (/ (- 1.0 k) 2.0) (log (* n PI))) (* (/ (- 1.0 k) 2.0) (log (* n PI))) (* (/ (- 1.0 k) 2.0) (log (* n PI))) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* n PI) (/ 1.0 2.0)) (pow (* n PI) (/ k 2.0)) (pow (* n PI) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* n PI) (sqrt (/ (- 1.0 k) 2.0))) (pow (* n PI) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* n PI) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* n PI) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* n PI) (/ (/ (sqrt (- 1.0 k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* n PI) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* n PI) (sqrt (- 1.0 k))) (pow (* n PI) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* n PI) (/ 1 (sqrt 2.0))) (* n PI) (pow (* n PI) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n PI) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* n PI) (+ (sqrt 1.0) (sqrt k))) (pow (* n PI) (/ (/ 1 (cbrt 2.0)) (cbrt 2.0))) (pow (* n PI) (/ 1 (sqrt 2.0))) (* n PI) (* n PI) (exp (* (- 1.0 k) (log (* n PI)))) (pow n (/ (- 1.0 k) 2.0)) (pow PI (/ (- 1.0 k) 2.0)) (* (/ (- 1.0 k) 2.0) (log (* n PI))) (exp (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* n PI) (/ (- 1.0 k) 2.0))) (cbrt (pow (* n PI) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (pow (* n PI) (/ (- 1.0 k) 2.0)) (* (pow (* n PI) (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0))) (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0))) (pow (* n PI) (/ (/ (- 1.0 k) 2) 2.0)) (pow (* n PI) (/ (/ (- 1.0 k) 2) 2.0)) (* n PI) (log (* n PI)) (log (* n PI)) (exp (* n PI)) (* (* (* n PI) (* n PI)) (* n PI)) (* (cbrt (* n PI)) (cbrt (* n PI))) (cbrt (* n PI)) (* (* (* n PI) (* n PI)) (* n PI)) (sqrt (* n PI)) (sqrt (* n PI)) (* (sqrt PI) (sqrt n)) (* (sqrt PI) (sqrt n)) (* n (* (cbrt PI) (cbrt PI))) (* (sqrt PI) n) n (* PI (cbrt n)) (* PI (sqrt n)) (* n PI) (log (/ 1.0 (sqrt k))) (log (/ 1.0 (sqrt k))) (exp (/ 1.0 (sqrt k))) (* (/ (* 1.0 1.0) k) (/ 1.0 (sqrt k))) (* (cbrt (/ 1.0 (sqrt k))) (cbrt (/ 1.0 (sqrt k)))) (cbrt (/ 1.0 (sqrt k))) (* (* (/ 1.0 (sqrt k)) (/ 1.0 (sqrt k))) (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (sqrt (/ 1.0 (sqrt k))) (- 1.0) (- (sqrt k)) (* (/ (cbrt 1.0) (cbrt (sqrt k))) (/ (cbrt 1.0) (cbrt (sqrt k)))) (/ (cbrt 1.0) (cbrt (sqrt k))) (* (/ (cbrt 1.0) (fabs (cbrt k))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (cbrt k))) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (* (/ (cbrt 1.0) (sqrt (sqrt k))) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt (sqrt k))) (* (cbrt 1.0) (cbrt 1.0)) (/ (cbrt 1.0) (sqrt k)) (/ (sqrt 1.0) (* (cbrt (sqrt k)) (cbrt (sqrt k)))) (/ (sqrt 1.0) (cbrt (sqrt k))) (/ (sqrt 1.0) (fabs (cbrt k))) (/ (sqrt 1.0) (sqrt (cbrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (sqrt 1.0) (sqrt (sqrt k))) (/ (sqrt 1.0) (sqrt (sqrt k))) (sqrt 1.0) (/ (sqrt 1.0) (sqrt k)) (/ (/ 1 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (cbrt (sqrt k))) (/ 1 (fabs (cbrt k))) (/ 1.0 (sqrt (cbrt k))) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt (sqrt k))) (/ 1.0 (sqrt (sqrt k))) 1 (/ 1.0 (sqrt k)) (/ 1 (sqrt k)) (/ (sqrt k) 1.0) (/ (/ 1.0 (cbrt (sqrt k))) (cbrt (sqrt k))) (/ 1.0 (fabs (cbrt k))) (/ 1.0 (sqrt (sqrt k))) 1.0 (/ 1.0 (sqrt (sqrt k))) 1.0 (/ (sqrt k) (cbrt 1.0)) (/ (sqrt k) (sqrt 1.0)) (/ (sqrt k) 1.0) (* 2.0 (* n PI)) (* (/ (- 1.0 k) 2.0) (+ (log (* n PI)) (log 2.0))) (* (/ (- 1.0 k) 2.0) (+ (log (* n PI)) (log 2.0))) (* (/ (- 1.0 k) 2.0) (+ (log (* n PI)) (log 2.0))) (* (/ (- 1.0 k) 2.0) (+ (log (* n PI)) (log 2.0))) (* (/ (- 1.0 k) 2.0) (+ (log (* n PI)) (log 2.0))) (* (/ (- 1.0 k) 2.0) (+ (log (* n PI)) (log 2.0))) (* (/ (- 1.0 k) 2.0) (+ (log (* n PI)) (log 2.0))) (* (/ (- 1.0 k) 2.0) (+ (log (* n PI)) (log 2.0))) (* (/ (- 1.0 k) 2.0) (+ (log (* n PI)) (log 2.0))) (* (/ (- 1.0 k) 2.0) (+ (log (* n PI)) (log 2.0))) (* (/ (- 1.0 k) 2.0) (+ (log (* n PI)) (log 2.0))) (* (/ (- 1.0 k) 2.0) (+ (log (* n PI)) (log 2.0))) (* (/ (- 1.0 k) 2.0) (+ (log (* n PI)) (log 2.0))) (exp (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))))) (* (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))))) (cbrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))))) (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))) (sqrt (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (pow 2.0 (/ 1.0 2.0)) (pow (* n PI) (/ 1.0 2.0))) (* (pow 2.0 (/ k 2.0)) (pow (* n PI) (/ k 2.0))) (* (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0))) (pow (sqrt 2.0) (/ (- 1.0 k) 2.0))) (* (pow (sqrt 2.0) (/ (/ (- 1.0 k) 2) 2.0)) (* (pow (sqrt 2.0) (/ (/ (- 1.0 k) 2) 2.0)) (pow (* n PI) (/ (/ (- 1.0 k) 2) 2.0)))) (* (pow (sqrt 2.0) (/ (/ (- 1.0 k) 2) 2.0)) (* (pow (sqrt 2.0) (/ (/ (- 1.0 k) 2) 2.0)) (pow (* n PI) (/ (/ (- 1.0 k) 2) 2.0)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* n PI) (/ (/ (- 1.0 k) 2.0) 4))) (pow (* n PI) (/ (/ (- 1.0 k) 2.0) 4))) (* (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* n PI) (/ (/ (- 1.0 k) 2.0) 4))) (pow (* n PI) (/ (/ (- 1.0 k) 2.0) 4))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 4)) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 4)) (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0))))) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 4)) (* (pow 2.0 (/ (/ (- 1.0 k) 2.0) 4)) (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0))))) (* (pow (* n PI) (/ (/ (- 1.0 k) 2) 2.0)) (pow 2.0 (/ (/ (- 1.0 k) 2) 2.0))) (* (pow (* n PI) (/ (/ (- 1.0 k) 2) 2.0)) (pow 2.0 (/ (/ (- 1.0 k) 2) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow n (/ (- 1.0 k) 2.0))) (* (* (cbrt (pow (* n PI) (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (cbrt (pow (* n PI) (/ (- 1.0 k) 2.0)))) (* (sqrt (pow (* n PI) (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0))) (pow 2.0 (/ (- 1.0 k) 2.0)) (* (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (/ (- 1.0 k) 2.0) 4))) (pow (* n PI) (/ (/ (- 1.0 k) 2.0) 4))) (* (pow (cbrt 2.0) (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (pow (sqrt 2.0) (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (cbrt (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (sqrt (pow 2.0 (/ (- 1.0 k) 2.0))) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (pow 2.0 (/ (/ (- 1.0 k) 2) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0))) (* (pow (* n PI) (/ 1.0 2.0)) (pow 2.0 (/ (- 1.0 k) 2.0))) (* (pow (* n PI) (/ (- 1.0 k) 2.0)) (pow 2.0 (/ 1.0 2.0))) (+ (+ (* (* (exp (* 0.5 (log (* n PI)))) 0.125) (+ (* (* (log PI) k) (* (log PI) k)) (* (* k (log n)) (* k (log n))))) (- (* (* 0.25 (exp (* 0.5 (log (* n PI))))) (* (* k k) (* (log PI) (log n)))) (* (* (exp (* 0.5 (log (* n PI)))) (+ (* k (log n)) (* (log PI) k))) 0.5))) (exp (* 0.5 (log (* n PI))))) (exp (* (* 0.5 (log (* n PI))) (- 1.0 k))) (exp (* (- 1.0 k) (* 0.5 (- (log (- PI)) (log (/ -1 n)))))) (* n PI) (* n PI) (* n PI) (- (+ (- (* (* k k) +nan.0) +nan.0) (* +nan.0 k))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) (/ (/ +nan.0 k) (* k k)))) (- (+ (- (/ +nan.0 (* k k)) (/ +nan.0 k)) +nan.0)) (+ (+ (+ (* 0.125 (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (* (log PI) k) (* (log PI) k))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* (* k (log 2.0)) (* k (log 2.0)))))) (+ (+ (pow (pow (pow (pow (pow (pow (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 1.0) 1.0) 1.0) 1.0) 1.0) 1.0) 0.5) (* (* 0.25 (* (log 2.0) (* (* k k) (log n)))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* (* 0.25 (* (* (log PI) (log 2.0)) (* k k))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (- (* (* (* k (log n)) (* k (log n))) (* 0.125 (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5))) (* 0.5 (+ (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (* k (log 2.0))) (* (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5) (+ (* (log PI) k) (* k (log n)))))))) (* 0.25 (* (* (* k k) (* (log PI) (log n))) (pow (* (pow 2.0 1.0) (* (pow PI 1.0) (pow n 1.0))) 0.5)))) (exp (* (* (- 1.0 k) 0.5) (+ (log 2.0) (log (* n PI))))) (exp (* 0.5 (+ (* (- 1.0 k) (log 2.0)) (* (- 1.0 k) (- (log (- PI)) (log (/ -1 n))))))) 15.455 * * * [progress]: adding candidates to table 16.330 * * [progress]: iteration 4 / 4 16.330 * * * [progress]: picking best candidate 16.399 * * * * [pick]: Picked # 16.399 * * * [progress]: localizing error 16.454 * * * [progress]: generating rewritten candidates 16.454 * * * * [progress]: [ 1 / 4 ] rewriting at (2 2 1 2 2) 16.455 * * * * [progress]: [ 2 / 4 ] rewriting at (2 2 1 2 1 2) 16.456 * * * * [progress]: [ 3 / 4 ] rewriting at (2 2) 16.520 * * * * [progress]: [ 4 / 4 ] rewriting at (2 2 1 2) 16.551 * * * [progress]: generating series expansions 16.551 * * * * [progress]: [ 1 / 4 ] generating series at (2 2 1 2 2) 16.551 * * * * [progress]: [ 2 / 4 ] generating series at (2 2 1 2 1 2) 16.551 * * * * [progress]: [ 3 / 4 ] generating series at (2 2) 16.552 * [backup-simplify]: Simplify (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (- 1.0 k) 2.0)) into (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) 16.552 * [approximate]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in (n k) around 0 16.552 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in k 16.552 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in k 16.552 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in k 16.552 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in k 16.552 * [taylor]: Taking taylor expansion of 0.5 in k 16.552 * [backup-simplify]: Simplify 0.5 into 0.5 16.552 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.552 * [taylor]: Taking taylor expansion of 1.0 in k 16.552 * [backup-simplify]: Simplify 1.0 into 1.0 16.552 * [taylor]: Taking taylor expansion of k in k 16.552 * [backup-simplify]: Simplify 0 into 0 16.552 * [backup-simplify]: Simplify 1 into 1 16.552 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in k 16.552 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in k 16.552 * [taylor]: Taking taylor expansion of 2.0 in k 16.552 * [backup-simplify]: Simplify 2.0 into 2.0 16.552 * [taylor]: Taking taylor expansion of (* n PI) in k 16.552 * [taylor]: Taking taylor expansion of n in k 16.552 * [backup-simplify]: Simplify n into n 16.552 * [taylor]: Taking taylor expansion of PI in k 16.552 * [backup-simplify]: Simplify PI into PI 16.552 * [backup-simplify]: Simplify (* n PI) into (* n PI) 16.553 * [backup-simplify]: Simplify (* 2.0 (* n PI)) into (* 2.0 (* n PI)) 16.553 * [backup-simplify]: Simplify (log (* 2.0 (* n PI))) into (log (* 2.0 (* n PI))) 16.553 * [backup-simplify]: Simplify (- 0) into 0 16.553 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.553 * [backup-simplify]: Simplify (* 0.5 1.0) into 0.5 16.554 * [backup-simplify]: Simplify (* 0.5 (log (* 2.0 (* n PI)))) into (* 0.5 (log (* 2.0 (* n PI)))) 16.554 * [backup-simplify]: Simplify (exp (* 0.5 (log (* 2.0 (* n PI))))) into (pow (* 2.0 (* n PI)) 0.5) 16.554 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.554 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.554 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.554 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.554 * [taylor]: Taking taylor expansion of 0.5 in n 16.554 * [backup-simplify]: Simplify 0.5 into 0.5 16.554 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.554 * [taylor]: Taking taylor expansion of 1.0 in n 16.554 * [backup-simplify]: Simplify 1.0 into 1.0 16.554 * [taylor]: Taking taylor expansion of k in n 16.554 * [backup-simplify]: Simplify k into k 16.554 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.554 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.554 * [taylor]: Taking taylor expansion of 2.0 in n 16.554 * [backup-simplify]: Simplify 2.0 into 2.0 16.554 * [taylor]: Taking taylor expansion of (* n PI) in n 16.554 * [taylor]: Taking taylor expansion of n in n 16.554 * [backup-simplify]: Simplify 0 into 0 16.554 * [backup-simplify]: Simplify 1 into 1 16.554 * [taylor]: Taking taylor expansion of PI in n 16.554 * [backup-simplify]: Simplify PI into PI 16.554 * [backup-simplify]: Simplify (* 0 PI) into 0 16.555 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.556 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.557 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.557 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.557 * [backup-simplify]: Simplify (- k) into (- k) 16.557 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.557 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.558 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.559 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 16.560 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 16.560 * [taylor]: Taking taylor expansion of (pow (* 2.0 (* n PI)) (* 0.5 (- 1.0 k))) in n 16.560 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI))))) in n 16.560 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 k)) (log (* 2.0 (* n PI)))) in n 16.560 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 k)) in n 16.560 * [taylor]: Taking taylor expansion of 0.5 in n 16.560 * [backup-simplify]: Simplify 0.5 into 0.5 16.560 * [taylor]: Taking taylor expansion of (- 1.0 k) in n 16.560 * [taylor]: Taking taylor expansion of 1.0 in n 16.560 * [backup-simplify]: Simplify 1.0 into 1.0 16.560 * [taylor]: Taking taylor expansion of k in n 16.560 * [backup-simplify]: Simplify k into k 16.560 * [taylor]: Taking taylor expansion of (log (* 2.0 (* n PI))) in n 16.560 * [taylor]: Taking taylor expansion of (* 2.0 (* n PI)) in n 16.560 * [taylor]: Taking taylor expansion of 2.0 in n 16.560 * [backup-simplify]: Simplify 2.0 into 2.0 16.560 * [taylor]: Taking taylor expansion of (* n PI) in n 16.560 * [taylor]: Taking taylor expansion of n in n 16.560 * [backup-simplify]: Simplify 0 into 0 16.560 * [backup-simplify]: Simplify 1 into 1 16.560 * [taylor]: Taking taylor expansion of PI in n 16.560 * [backup-simplify]: Simplify PI into PI 16.560 * [backup-simplify]: Simplify (* 0 PI) into 0 16.561 * [backup-simplify]: Simplify (* 2.0 0) into 0 16.562 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.564 * [backup-simplify]: Simplify (+ (* 2.0 PI) (* 0 0)) into (* 2.0 PI) 16.565 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.565 * [backup-simplify]: Simplify (- k) into (- k) 16.565 * [backup-simplify]: Simplify (+ 1.0 (- k)) into (- 1.0 k) 16.565 * [backup-simplify]: Simplify (* 0.5 (- 1.0 k)) into (* 0.5 (- 1.0 k)) 16.567 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.568 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 k)) (+ (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) 16.569 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) 16.569 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) in k 16.569 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n)))) in k 16.569 * [taylor]: Taking taylor expansion of 0.5 in k 16.569 * [backup-simplify]: Simplify 0.5 into 0.5 16.569 * [taylor]: Taking taylor expansion of (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))) in k 16.569 * [taylor]: Taking taylor expansion of (- 1.0 k) in k 16.569 * [taylor]: Taking taylor expansion of 1.0 in k 16.569 * [backup-simplify]: Simplify 1.0 into 1.0 16.569 * [taylor]: Taking taylor expansion of k in k 16.570 * [backup-simplify]: Simplify 0 into 0 16.570 * [backup-simplify]: Simplify 1 into 1 16.570 * [taylor]: Taking taylor expansion of (+ (log (* 2.0 PI)) (log n)) in k 16.570 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.570 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.570 * [taylor]: Taking taylor expansion of 2.0 in k 16.570 * [backup-simplify]: Simplify 2.0 into 2.0 16.570 * [taylor]: Taking taylor expansion of PI in k 16.570 * [backup-simplify]: Simplify PI into PI 16.570 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.572 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.572 * [taylor]: Taking taylor expansion of (log n) in k 16.572 * [taylor]: Taking taylor expansion of n in k 16.572 * [backup-simplify]: Simplify n into n 16.572 * [backup-simplify]: Simplify (log n) into (log n) 16.572 * [backup-simplify]: Simplify (- 0) into 0 16.573 * [backup-simplify]: Simplify (+ 1.0 0) into 1.0 16.574 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (log n)) into (+ (log (* 2.0 PI)) (log n)) 16.575 * [backup-simplify]: Simplify (* 1.0 (+ (log (* 2.0 PI)) (log n))) into (* 1.0 (+ (log (* 2.0 PI)) (log n))) 16.576 * [backup-simplify]: Simplify (* 0.5 (* 1.0 (+ (log (* 2.0 PI)) (log n)))) into (* 0.5 (+ (log (* 2.0 PI)) (log n))) 16.577 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 16.578 * [backup-simplify]: Simplify (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) into (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) 16.578 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 16.579 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 PI) (* 0 0))) into 0 16.580 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.580 * [backup-simplify]: Simplify (- 0) into 0 16.580 * [backup-simplify]: Simplify (+ 0 0) into 0 16.581 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 k))) into 0 16.582 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.582 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (* 0 (+ (log (* 2.0 PI)) (log n)))) into 0 16.583 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.584 * [taylor]: Taking taylor expansion of 0 in k 16.584 * [backup-simplify]: Simplify 0 into 0 16.584 * [backup-simplify]: Simplify 0 into 0 16.584 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.585 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.586 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow n 1)))) 1) into 0 16.586 * [backup-simplify]: Simplify (+ 0 0) into 0 16.586 * [backup-simplify]: Simplify (- 1) into -1 16.586 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.587 * [backup-simplify]: Simplify (+ (* 1.0 0) (* -1 (+ (log (* 2.0 PI)) (log n)))) into (- (+ (log (* 2.0 PI)) (log n))) 16.589 * [backup-simplify]: Simplify (+ (* 0.5 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n))))) into (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 16.591 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 1) 1)))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 16.593 * [backup-simplify]: Simplify (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) 16.593 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 16.594 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 PI) (* 0 0)))) into 0 16.596 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 16.596 * [backup-simplify]: Simplify (- 0) into 0 16.596 * [backup-simplify]: Simplify (+ 0 0) into 0 16.597 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 k)))) into 0 16.598 * [backup-simplify]: Simplify (+ (* (- -1) (log n)) (log (* 2.0 PI))) into (+ (log (* 2.0 PI)) (log n)) 16.599 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 k)) 0) (+ (* 0 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.600 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 k) (+ (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.600 * [taylor]: Taking taylor expansion of 0 in k 16.600 * [backup-simplify]: Simplify 0 into 0 16.600 * [backup-simplify]: Simplify 0 into 0 16.600 * [backup-simplify]: Simplify 0 into 0 16.601 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.603 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 16.604 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow n 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow n 1)))) 2) into 0 16.604 * [backup-simplify]: Simplify (+ 0 0) into 0 16.605 * [backup-simplify]: Simplify (- 0) into 0 16.605 * [backup-simplify]: Simplify (+ 0 0) into 0 16.606 * [backup-simplify]: Simplify (+ (* 1.0 0) (+ (* -1 0) (* 0 (+ (log (* 2.0 PI)) (log n))))) into 0 16.608 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 (- (+ (log (* 2.0 PI)) (log n)))) (* 0 (* 1.0 (+ (log (* 2.0 PI)) (log n)))))) into 0 16.611 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* (/ (pow (- (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n)))) 2) 2)) (* (/ (pow 0 1) 1)))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 16.617 * [backup-simplify]: Simplify (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) into (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) 16.627 * [backup-simplify]: Simplify (+ (* (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (+ (* 0.125 (pow (log n) 2)) (+ (* 0.125 (pow (log (* 2.0 PI)) 2)) (* 0.25 (* (log (* 2.0 PI)) (log n)))))) (pow (* k 1) 2)) (+ (* (* -1 (* (+ (* 0.5 (log (* 2.0 PI))) (* 0.5 (log n))) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) (* k 1)) (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))))) into (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) 16.628 * [backup-simplify]: Simplify (pow (* 2.0 (* (* (/ 1 n) (sqrt PI)) (sqrt PI))) (/ (- 1.0 (/ 1 k)) 2.0)) into (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) 16.629 * [approximate]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in (n k) around 0 16.629 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in k 16.629 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in k 16.629 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in k 16.629 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in k 16.629 * [taylor]: Taking taylor expansion of 0.5 in k 16.629 * [backup-simplify]: Simplify 0.5 into 0.5 16.629 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.629 * [taylor]: Taking taylor expansion of 1.0 in k 16.629 * [backup-simplify]: Simplify 1.0 into 1.0 16.629 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.629 * [taylor]: Taking taylor expansion of k in k 16.629 * [backup-simplify]: Simplify 0 into 0 16.629 * [backup-simplify]: Simplify 1 into 1 16.629 * [backup-simplify]: Simplify (/ 1 1) into 1 16.629 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in k 16.629 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in k 16.629 * [taylor]: Taking taylor expansion of 2.0 in k 16.629 * [backup-simplify]: Simplify 2.0 into 2.0 16.629 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.630 * [taylor]: Taking taylor expansion of PI in k 16.630 * [backup-simplify]: Simplify PI into PI 16.630 * [taylor]: Taking taylor expansion of n in k 16.630 * [backup-simplify]: Simplify n into n 16.630 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.630 * [backup-simplify]: Simplify (* 2.0 (/ PI n)) into (* 2.0 (/ PI n)) 16.630 * [backup-simplify]: Simplify (log (* 2.0 (/ PI n))) into (log (* 2.0 (/ PI n))) 16.630 * [backup-simplify]: Simplify (- 1) into -1 16.631 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.631 * [backup-simplify]: Simplify (* 0.5 -1) into -0.5 16.631 * [backup-simplify]: Simplify (* -0.5 (log (* 2.0 (/ PI n)))) into (* -0.5 (log (* 2.0 (/ PI n)))) 16.632 * [backup-simplify]: Simplify (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (log (* 2.0 (/ PI n)))))) 16.632 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.632 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.632 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.632 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.632 * [taylor]: Taking taylor expansion of 0.5 in n 16.632 * [backup-simplify]: Simplify 0.5 into 0.5 16.632 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.632 * [taylor]: Taking taylor expansion of 1.0 in n 16.632 * [backup-simplify]: Simplify 1.0 into 1.0 16.632 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.632 * [taylor]: Taking taylor expansion of k in n 16.632 * [backup-simplify]: Simplify k into k 16.632 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.632 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.632 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.632 * [taylor]: Taking taylor expansion of 2.0 in n 16.632 * [backup-simplify]: Simplify 2.0 into 2.0 16.632 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.632 * [taylor]: Taking taylor expansion of PI in n 16.633 * [backup-simplify]: Simplify PI into PI 16.633 * [taylor]: Taking taylor expansion of n in n 16.633 * [backup-simplify]: Simplify 0 into 0 16.633 * [backup-simplify]: Simplify 1 into 1 16.633 * [backup-simplify]: Simplify (/ PI 1) into PI 16.634 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.635 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.635 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.635 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.635 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.636 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.637 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 16.642 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 16.642 * [taylor]: Taking taylor expansion of (pow (* 2.0 (/ PI n)) (* 0.5 (- 1.0 (/ 1 k)))) in n 16.642 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n))))) in n 16.642 * [taylor]: Taking taylor expansion of (* (* 0.5 (- 1.0 (/ 1 k))) (log (* 2.0 (/ PI n)))) in n 16.642 * [taylor]: Taking taylor expansion of (* 0.5 (- 1.0 (/ 1 k))) in n 16.643 * [taylor]: Taking taylor expansion of 0.5 in n 16.643 * [backup-simplify]: Simplify 0.5 into 0.5 16.643 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in n 16.643 * [taylor]: Taking taylor expansion of 1.0 in n 16.643 * [backup-simplify]: Simplify 1.0 into 1.0 16.643 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.643 * [taylor]: Taking taylor expansion of k in n 16.643 * [backup-simplify]: Simplify k into k 16.643 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.643 * [taylor]: Taking taylor expansion of (log (* 2.0 (/ PI n))) in n 16.643 * [taylor]: Taking taylor expansion of (* 2.0 (/ PI n)) in n 16.643 * [taylor]: Taking taylor expansion of 2.0 in n 16.643 * [backup-simplify]: Simplify 2.0 into 2.0 16.643 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.643 * [taylor]: Taking taylor expansion of PI in n 16.643 * [backup-simplify]: Simplify PI into PI 16.643 * [taylor]: Taking taylor expansion of n in n 16.643 * [backup-simplify]: Simplify 0 into 0 16.643 * [backup-simplify]: Simplify 1 into 1 16.643 * [backup-simplify]: Simplify (/ PI 1) into PI 16.644 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.645 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.645 * [backup-simplify]: Simplify (- (/ 1 k)) into (- (/ 1 k)) 16.645 * [backup-simplify]: Simplify (+ 1.0 (- (/ 1 k))) into (- 1.0 (/ 1 k)) 16.645 * [backup-simplify]: Simplify (* 0.5 (- 1.0 (/ 1 k))) into (* 0.5 (- 1.0 (/ 1 k))) 16.646 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.646 * [backup-simplify]: Simplify (* (* 0.5 (- 1.0 (/ 1 k))) (- (log (* 2.0 PI)) (log n))) into (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) 16.647 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 16.647 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) in k 16.647 * [taylor]: Taking taylor expansion of (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n)))) in k 16.647 * [taylor]: Taking taylor expansion of 0.5 in k 16.647 * [backup-simplify]: Simplify 0.5 into 0.5 16.647 * [taylor]: Taking taylor expansion of (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))) in k 16.647 * [taylor]: Taking taylor expansion of (- 1.0 (/ 1 k)) in k 16.647 * [taylor]: Taking taylor expansion of 1.0 in k 16.647 * [backup-simplify]: Simplify 1.0 into 1.0 16.647 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.647 * [taylor]: Taking taylor expansion of k in k 16.647 * [backup-simplify]: Simplify 0 into 0 16.647 * [backup-simplify]: Simplify 1 into 1 16.648 * [backup-simplify]: Simplify (/ 1 1) into 1 16.648 * [taylor]: Taking taylor expansion of (- (log (* 2.0 PI)) (log n)) in k 16.648 * [taylor]: Taking taylor expansion of (log (* 2.0 PI)) in k 16.648 * [taylor]: Taking taylor expansion of (* 2.0 PI) in k 16.648 * [taylor]: Taking taylor expansion of 2.0 in k 16.648 * [backup-simplify]: Simplify 2.0 into 2.0 16.648 * [taylor]: Taking taylor expansion of PI in k 16.648 * [backup-simplify]: Simplify PI into PI 16.648 * [backup-simplify]: Simplify (* 2.0 PI) into (* 2.0 PI) 16.649 * [backup-simplify]: Simplify (log (* 2.0 PI)) into (log (* 2.0 PI)) 16.649 * [taylor]: Taking taylor expansion of (log n) in k 16.649 * [taylor]: Taking taylor expansion of n in k 16.649 * [backup-simplify]: Simplify n into n 16.649 * [backup-simplify]: Simplify (log n) into (log n) 16.649 * [backup-simplify]: Simplify (- 1) into -1 16.649 * [backup-simplify]: Simplify (+ 0 -1) into -1 16.649 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.650 * [backup-simplify]: Simplify (+ (log (* 2.0 PI)) (- (log n))) into (- (log (* 2.0 PI)) (log n)) 16.651 * [backup-simplify]: Simplify (* -1 (- (log (* 2.0 PI)) (log n))) into (* -1 (- (log (* 2.0 PI)) (log n))) 16.652 * [backup-simplify]: Simplify (* 0.5 (* -1 (- (log (* 2.0 PI)) (log n)))) into (* -0.5 (- (log (* 2.0 PI)) (log n))) 16.652 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 16.653 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) into (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) 16.654 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.654 * [backup-simplify]: Simplify (+ (* 2.0 0) (* 0 PI)) into 0 16.655 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* 2.0 PI) 1)))) 1) into 0 16.655 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.656 * [backup-simplify]: Simplify (- 0) into 0 16.656 * [backup-simplify]: Simplify (+ 0 0) into 0 16.656 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (- 1.0 (/ 1 k)))) into 0 16.657 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.658 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (* 0 (- (log (* 2.0 PI)) (log n)))) into 0 16.659 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 1) 1)))) into 0 16.659 * [taylor]: Taking taylor expansion of 0 in k 16.659 * [backup-simplify]: Simplify 0 into 0 16.659 * [backup-simplify]: Simplify 0 into 0 16.659 * [backup-simplify]: Simplify 0 into 0 16.660 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.660 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.662 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* 2.0 PI) 1)))) 2) into 0 16.662 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.662 * [backup-simplify]: Simplify (- 0) into 0 16.663 * [backup-simplify]: Simplify (+ 0 0) into 0 16.663 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k))))) into 0 16.664 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.665 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n))))) into 0 16.666 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.666 * [taylor]: Taking taylor expansion of 0 in k 16.666 * [backup-simplify]: Simplify 0 into 0 16.667 * [backup-simplify]: Simplify 0 into 0 16.667 * [backup-simplify]: Simplify 0 into 0 16.667 * [backup-simplify]: Simplify 0 into 0 16.667 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.668 * [backup-simplify]: Simplify (+ (* 2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.671 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* 2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* 2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* 2.0 PI) 1)))) 6) into 0 16.671 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.671 * [backup-simplify]: Simplify (- 0) into 0 16.672 * [backup-simplify]: Simplify (+ 0 0) into 0 16.672 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- 1.0 (/ 1 k)))))) into 0 16.673 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* 2.0 PI))) into (- (log (* 2.0 PI)) (log n)) 16.674 * [backup-simplify]: Simplify (+ (* (* 0.5 (- 1.0 (/ 1 k))) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* 2.0 PI)) (log n)))))) into 0 16.676 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- 1.0 (/ 1 k)) (- (log (* 2.0 PI)) (log n))))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.676 * [taylor]: Taking taylor expansion of 0 in k 16.676 * [backup-simplify]: Simplify 0 into 0 16.676 * [backup-simplify]: Simplify 0 into 0 16.677 * [backup-simplify]: Simplify (exp (* 0.5 (* (- 1.0 (/ 1 (/ 1 k))) (- (log (* 2.0 PI)) (log (/ 1 n)))))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) 16.678 * [backup-simplify]: Simplify (pow (* 2.0 (* (* (/ 1 (- n)) (sqrt PI)) (sqrt PI))) (/ (- 1.0 (/ 1 (- k))) 2.0)) into (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) 16.678 * [approximate]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in (n k) around 0 16.678 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in k 16.678 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in k 16.678 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in k 16.678 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in k 16.678 * [taylor]: Taking taylor expansion of 0.5 in k 16.678 * [backup-simplify]: Simplify 0.5 into 0.5 16.678 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.678 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.678 * [taylor]: Taking taylor expansion of k in k 16.678 * [backup-simplify]: Simplify 0 into 0 16.678 * [backup-simplify]: Simplify 1 into 1 16.678 * [backup-simplify]: Simplify (/ 1 1) into 1 16.678 * [taylor]: Taking taylor expansion of 1.0 in k 16.678 * [backup-simplify]: Simplify 1.0 into 1.0 16.678 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in k 16.678 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in k 16.678 * [taylor]: Taking taylor expansion of -2.0 in k 16.678 * [backup-simplify]: Simplify -2.0 into -2.0 16.678 * [taylor]: Taking taylor expansion of (/ PI n) in k 16.678 * [taylor]: Taking taylor expansion of PI in k 16.678 * [backup-simplify]: Simplify PI into PI 16.678 * [taylor]: Taking taylor expansion of n in k 16.678 * [backup-simplify]: Simplify n into n 16.678 * [backup-simplify]: Simplify (/ PI n) into (/ PI n) 16.678 * [backup-simplify]: Simplify (* -2.0 (/ PI n)) into (* -2.0 (/ PI n)) 16.679 * [backup-simplify]: Simplify (log (* -2.0 (/ PI n))) into (log (* -2.0 (/ PI n))) 16.679 * [backup-simplify]: Simplify (+ 1 0) into 1 16.679 * [backup-simplify]: Simplify (* 0.5 1) into 0.5 16.679 * [backup-simplify]: Simplify (* 0.5 (log (* -2.0 (/ PI n)))) into (* 0.5 (log (* -2.0 (/ PI n)))) 16.679 * [backup-simplify]: Simplify (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) into (exp (* 0.5 (* (log (* -2.0 (/ PI n))) (+ (/ 1 k) 1.0)))) 16.679 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.679 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.679 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.679 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.679 * [taylor]: Taking taylor expansion of 0.5 in n 16.679 * [backup-simplify]: Simplify 0.5 into 0.5 16.679 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.679 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.679 * [taylor]: Taking taylor expansion of k in n 16.680 * [backup-simplify]: Simplify k into k 16.680 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.680 * [taylor]: Taking taylor expansion of 1.0 in n 16.680 * [backup-simplify]: Simplify 1.0 into 1.0 16.680 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.680 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.680 * [taylor]: Taking taylor expansion of -2.0 in n 16.680 * [backup-simplify]: Simplify -2.0 into -2.0 16.680 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.680 * [taylor]: Taking taylor expansion of PI in n 16.680 * [backup-simplify]: Simplify PI into PI 16.680 * [taylor]: Taking taylor expansion of n in n 16.680 * [backup-simplify]: Simplify 0 into 0 16.680 * [backup-simplify]: Simplify 1 into 1 16.680 * [backup-simplify]: Simplify (/ PI 1) into PI 16.680 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.681 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.681 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.681 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.682 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.683 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 16.684 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 16.684 * [taylor]: Taking taylor expansion of (pow (* -2.0 (/ PI n)) (* 0.5 (+ (/ 1 k) 1.0))) in n 16.684 * [taylor]: Taking taylor expansion of (exp (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n))))) in n 16.684 * [taylor]: Taking taylor expansion of (* (* 0.5 (+ (/ 1 k) 1.0)) (log (* -2.0 (/ PI n)))) in n 16.684 * [taylor]: Taking taylor expansion of (* 0.5 (+ (/ 1 k) 1.0)) in n 16.684 * [taylor]: Taking taylor expansion of 0.5 in n 16.684 * [backup-simplify]: Simplify 0.5 into 0.5 16.684 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in n 16.684 * [taylor]: Taking taylor expansion of (/ 1 k) in n 16.684 * [taylor]: Taking taylor expansion of k in n 16.684 * [backup-simplify]: Simplify k into k 16.684 * [backup-simplify]: Simplify (/ 1 k) into (/ 1 k) 16.684 * [taylor]: Taking taylor expansion of 1.0 in n 16.684 * [backup-simplify]: Simplify 1.0 into 1.0 16.684 * [taylor]: Taking taylor expansion of (log (* -2.0 (/ PI n))) in n 16.684 * [taylor]: Taking taylor expansion of (* -2.0 (/ PI n)) in n 16.684 * [taylor]: Taking taylor expansion of -2.0 in n 16.684 * [backup-simplify]: Simplify -2.0 into -2.0 16.684 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.684 * [taylor]: Taking taylor expansion of PI in n 16.684 * [backup-simplify]: Simplify PI into PI 16.684 * [taylor]: Taking taylor expansion of n in n 16.684 * [backup-simplify]: Simplify 0 into 0 16.684 * [backup-simplify]: Simplify 1 into 1 16.684 * [backup-simplify]: Simplify (/ PI 1) into PI 16.685 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.685 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.686 * [backup-simplify]: Simplify (+ (/ 1 k) 1.0) into (+ (/ 1 k) 1.0) 16.686 * [backup-simplify]: Simplify (* 0.5 (+ (/ 1 k) 1.0)) into (* 0.5 (+ (/ 1 k) 1.0)) 16.687 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.687 * [backup-simplify]: Simplify (* (* 0.5 (+ (/ 1 k) 1.0)) (- (log (* -2.0 PI)) (log n))) into (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) 16.688 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 16.688 * [taylor]: Taking taylor expansion of (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) in k 16.688 * [taylor]: Taking taylor expansion of (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0))) in k 16.688 * [taylor]: Taking taylor expansion of 0.5 in k 16.688 * [backup-simplify]: Simplify 0.5 into 0.5 16.688 * [taylor]: Taking taylor expansion of (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)) in k 16.688 * [taylor]: Taking taylor expansion of (- (log (* -2.0 PI)) (log n)) in k 16.688 * [taylor]: Taking taylor expansion of (log (* -2.0 PI)) in k 16.688 * [taylor]: Taking taylor expansion of (* -2.0 PI) in k 16.688 * [taylor]: Taking taylor expansion of -2.0 in k 16.688 * [backup-simplify]: Simplify -2.0 into -2.0 16.688 * [taylor]: Taking taylor expansion of PI in k 16.688 * [backup-simplify]: Simplify PI into PI 16.689 * [backup-simplify]: Simplify (* -2.0 PI) into (* -2.0 PI) 16.690 * [backup-simplify]: Simplify (log (* -2.0 PI)) into (log (* -2.0 PI)) 16.690 * [taylor]: Taking taylor expansion of (log n) in k 16.690 * [taylor]: Taking taylor expansion of n in k 16.690 * [backup-simplify]: Simplify n into n 16.690 * [backup-simplify]: Simplify (log n) into (log n) 16.690 * [taylor]: Taking taylor expansion of (+ (/ 1 k) 1.0) in k 16.690 * [taylor]: Taking taylor expansion of (/ 1 k) in k 16.690 * [taylor]: Taking taylor expansion of k in k 16.690 * [backup-simplify]: Simplify 0 into 0 16.690 * [backup-simplify]: Simplify 1 into 1 16.690 * [backup-simplify]: Simplify (/ 1 1) into 1 16.690 * [taylor]: Taking taylor expansion of 1.0 in k 16.690 * [backup-simplify]: Simplify 1.0 into 1.0 16.690 * [backup-simplify]: Simplify (- (log n)) into (- (log n)) 16.691 * [backup-simplify]: Simplify (+ (log (* -2.0 PI)) (- (log n))) into (- (log (* -2.0 PI)) (log n)) 16.691 * [backup-simplify]: Simplify (+ 1 0) into 1 16.692 * [backup-simplify]: Simplify (* (- (log (* -2.0 PI)) (log n)) 1) into (- (log (* -2.0 PI)) (log n)) 16.693 * [backup-simplify]: Simplify (* 0.5 (- (log (* -2.0 PI)) (log n))) into (* 0.5 (- (log (* -2.0 PI)) (log n))) 16.694 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 16.694 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) into (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) 16.695 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.695 * [backup-simplify]: Simplify (+ (* -2.0 0) (* 0 PI)) into 0 16.697 * [backup-simplify]: Simplify (/ (+ (* 1 (/ (* (pow (* 1 0) 1)) (pow (* -2.0 PI) 1)))) 1) into 0 16.697 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)))) into 0 16.697 * [backup-simplify]: Simplify (+ 0 0) into 0 16.697 * [backup-simplify]: Simplify (+ (* 0.5 0) (* 0 (+ (/ 1 k) 1.0))) into 0 16.698 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.699 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (* 0 (- (log (* -2.0 PI)) (log n)))) into 0 16.700 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 1) 1)))) into 0 16.700 * [taylor]: Taking taylor expansion of 0 in k 16.700 * [backup-simplify]: Simplify 0 into 0 16.700 * [backup-simplify]: Simplify 0 into 0 16.700 * [backup-simplify]: Simplify 0 into 0 16.701 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.701 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (* 0 PI))) into 0 16.703 * [backup-simplify]: Simplify (/ (+ (* -1 (/ (* (pow (* 1 0) 2)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 (pow (* 2 0) 1)) (pow (* -2.0 PI) 1)))) 2) into 0 16.703 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.704 * [backup-simplify]: Simplify (+ 0 0) into 0 16.704 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0)))) into 0 16.705 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.706 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n))))) into 0 16.707 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 2) 2)) (* (/ (pow 0 1) 1)))) into 0 16.707 * [taylor]: Taking taylor expansion of 0 in k 16.707 * [backup-simplify]: Simplify 0 into 0 16.707 * [backup-simplify]: Simplify 0 into 0 16.707 * [backup-simplify]: Simplify 0 into 0 16.707 * [backup-simplify]: Simplify 0 into 0 16.708 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.709 * [backup-simplify]: Simplify (+ (* -2.0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.712 * [backup-simplify]: Simplify (/ (+ (* 2 (/ (* (pow (* 1 0) 3)) (pow (* -2.0 PI) 3))) (* -3 (/ (* (pow (* 1 0) 1) (pow (* 2 0) 1)) (pow (* -2.0 PI) 2))) (* 1 (/ (* 1 1 (pow (* 6 0) 1)) (pow (* -2.0 PI) 1)))) 6) into 0 16.712 * [backup-simplify]: Simplify (- (+ (* (/ 1 k) (/ 0 k)) (* 0 (/ 0 k)) (* 0 (/ 0 k)))) into 0 16.712 * [backup-simplify]: Simplify (+ 0 0) into 0 16.713 * [backup-simplify]: Simplify (+ (* 0.5 0) (+ (* 0 0) (+ (* 0 0) (* 0 (+ (/ 1 k) 1.0))))) into 0 16.714 * [backup-simplify]: Simplify (+ (* (- 1) (log n)) (log (* -2.0 PI))) into (- (log (* -2.0 PI)) (log n)) 16.715 * [backup-simplify]: Simplify (+ (* (* 0.5 (+ (/ 1 k) 1.0)) 0) (+ (* 0 0) (+ (* 0 0) (* 0 (- (log (* -2.0 PI)) (log n)))))) into 0 16.717 * [backup-simplify]: Simplify (* (exp (* 0.5 (* (- (log (* -2.0 PI)) (log n)) (+ (/ 1 k) 1.0)))) (+ (* (/ (pow 0 3) 6)) (* (/ (pow 0 1) 1) (/ (pow 0 1) 1)) (* (/ (pow 0 1) 1)))) into 0 16.717 * [taylor]: Taking taylor expansion of 0 in k 16.717 * [backup-simplify]: Simplify 0 into 0 16.717 * [backup-simplify]: Simplify 0 into 0 16.718 * [backup-simplify]: Simplify (exp (* 0.5 (* (- (log (* -2.0 PI)) (log (/ 1 (- n)))) (+ (/ 1 (/ 1 (- k))) 1.0)))) into (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) 16.718 * * * * [progress]: [ 4 / 4 ] generating series at (2 2 1 2) 16.718 * [backup-simplify]: Simplify (* (* n (sqrt PI)) (sqrt PI)) into (* n PI) 16.718 * [approximate]: Taking taylor expansion of (* n PI) in (n) around 0 16.718 * [taylor]: Taking taylor expansion of (* n PI) in n 16.718 * [taylor]: Taking taylor expansion of n in n 16.718 * [backup-simplify]: Simplify 0 into 0 16.719 * [backup-simplify]: Simplify 1 into 1 16.719 * [taylor]: Taking taylor expansion of PI in n 16.719 * [backup-simplify]: Simplify PI into PI 16.719 * [taylor]: Taking taylor expansion of (* n PI) in n 16.719 * [taylor]: Taking taylor expansion of n in n 16.719 * [backup-simplify]: Simplify 0 into 0 16.719 * [backup-simplify]: Simplify 1 into 1 16.719 * [taylor]: Taking taylor expansion of PI in n 16.719 * [backup-simplify]: Simplify PI into PI 16.719 * [backup-simplify]: Simplify (* 0 PI) into 0 16.719 * [backup-simplify]: Simplify 0 into 0 16.720 * [backup-simplify]: Simplify (+ (* 0 0) (* 1 PI)) into PI 16.720 * [backup-simplify]: Simplify PI into PI 16.720 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (* 0 PI))) into 0 16.721 * [backup-simplify]: Simplify 0 into 0 16.721 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (* 0 PI)))) into 0 16.721 * [backup-simplify]: Simplify 0 into 0 16.722 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 16.722 * [backup-simplify]: Simplify 0 into 0 16.723 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 16.723 * [backup-simplify]: Simplify 0 into 0 16.724 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 16.724 * [backup-simplify]: Simplify 0 into 0 16.725 * [backup-simplify]: Simplify (+ (* 0 0) (+ (* 1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))))) into 0 16.725 * [backup-simplify]: Simplify 0 into 0 16.725 * [backup-simplify]: Simplify (* PI n) into (* n PI) 16.726 * [backup-simplify]: Simplify (* (* (/ 1 n) (sqrt PI)) (sqrt PI)) into (/ PI n) 16.726 * [approximate]: Taking taylor expansion of (/ PI n) in (n) around 0 16.726 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.726 * [taylor]: Taking taylor expansion of PI in n 16.726 * [backup-simplify]: Simplify PI into PI 16.726 * [taylor]: Taking taylor expansion of n in n 16.726 * [backup-simplify]: Simplify 0 into 0 16.726 * [backup-simplify]: Simplify 1 into 1 16.726 * [backup-simplify]: Simplify (/ PI 1) into PI 16.726 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.726 * [taylor]: Taking taylor expansion of PI in n 16.726 * [backup-simplify]: Simplify PI into PI 16.726 * [taylor]: Taking taylor expansion of n in n 16.726 * [backup-simplify]: Simplify 0 into 0 16.726 * [backup-simplify]: Simplify 1 into 1 16.726 * [backup-simplify]: Simplify (/ PI 1) into PI 16.726 * [backup-simplify]: Simplify PI into PI 16.727 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.727 * [backup-simplify]: Simplify 0 into 0 16.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.728 * [backup-simplify]: Simplify 0 into 0 16.728 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.728 * [backup-simplify]: Simplify 0 into 0 16.729 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.729 * [backup-simplify]: Simplify 0 into 0 16.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.730 * [backup-simplify]: Simplify 0 into 0 16.730 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.730 * [backup-simplify]: Simplify 0 into 0 16.730 * [backup-simplify]: Simplify (* PI (/ 1 (/ 1 n))) into (* n PI) 16.731 * [backup-simplify]: Simplify (* (* (/ 1 (- n)) (sqrt PI)) (sqrt PI)) into (* -1 (/ PI n)) 16.731 * [approximate]: Taking taylor expansion of (* -1 (/ PI n)) in (n) around 0 16.731 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 16.731 * [taylor]: Taking taylor expansion of -1 in n 16.731 * [backup-simplify]: Simplify -1 into -1 16.731 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.731 * [taylor]: Taking taylor expansion of PI in n 16.731 * [backup-simplify]: Simplify PI into PI 16.731 * [taylor]: Taking taylor expansion of n in n 16.731 * [backup-simplify]: Simplify 0 into 0 16.731 * [backup-simplify]: Simplify 1 into 1 16.736 * [backup-simplify]: Simplify (/ PI 1) into PI 16.736 * [taylor]: Taking taylor expansion of (* -1 (/ PI n)) in n 16.736 * [taylor]: Taking taylor expansion of -1 in n 16.736 * [backup-simplify]: Simplify -1 into -1 16.736 * [taylor]: Taking taylor expansion of (/ PI n) in n 16.736 * [taylor]: Taking taylor expansion of PI in n 16.736 * [backup-simplify]: Simplify PI into PI 16.736 * [taylor]: Taking taylor expansion of n in n 16.736 * [backup-simplify]: Simplify 0 into 0 16.736 * [backup-simplify]: Simplify 1 into 1 16.737 * [backup-simplify]: Simplify (/ PI 1) into PI 16.737 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 16.737 * [backup-simplify]: Simplify (* -1 PI) into (* -1 PI) 16.738 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)))) into 0 16.738 * [backup-simplify]: Simplify (+ (* -1 0) (* 0 PI)) into 0 16.739 * [backup-simplify]: Simplify 0 into 0 16.739 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.740 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (* 0 PI))) into 0 16.740 * [backup-simplify]: Simplify 0 into 0 16.740 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.741 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))) into 0 16.741 * [backup-simplify]: Simplify 0 into 0 16.742 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.743 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))) into 0 16.743 * [backup-simplify]: Simplify 0 into 0 16.743 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.744 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI)))))) into 0 16.744 * [backup-simplify]: Simplify 0 into 0 16.745 * [backup-simplify]: Simplify (- (/ 0 1) (+ (* PI (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)) (* 0 (/ 0 1)))) into 0 16.746 * [backup-simplify]: Simplify (+ (* -1 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (+ (* 0 0) (* 0 PI))))))) into 0 16.746 * [backup-simplify]: Simplify 0 into 0 16.746 * [backup-simplify]: Simplify (* (* -1 PI) (/ 1 (/ 1 (- n)))) into (* n PI) 16.746 * * * [progress]: simplifying candidates 16.747 * [simplify]: Simplifying: (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (* (sqrt PI) (sqrt PI)) (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI))) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (sqrt 1) (sqrt PI) (/ 1 2) (sqrt (sqrt PI)) (sqrt (sqrt PI)) (* (+ (log 2.0) (+ (+ (log n) (log (sqrt PI))) (log (sqrt PI)))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (+ (log (* n (sqrt PI))) (log (sqrt PI)))) (/ (- 1.0 k) 2.0)) (* (+ (log 2.0) (log (* (* n (sqrt PI)) (sqrt PI)))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* (* n (sqrt PI)) (sqrt PI)))) (/ (- 1.0 k) 2.0)) (* (log (* 2.0 (* (* n (sqrt PI)) (sqrt PI)))) (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (* 1 (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ 1.0 2.0)) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ k 2.0)) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (sqrt (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) (sqrt 2.0))) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k))) 1)) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (sqrt (- 1.0 k)) 1)) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ 1 1)) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (+ (sqrt 1.0) (sqrt k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (+ (sqrt 1.0) (sqrt k)) 1)) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ 1 (sqrt 2.0))) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ 1 1)) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) 1) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* (* n (sqrt PI)) (sqrt PI)) (/ (- 1.0 k) 2.0)) (log (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (- 1.0 k) 2.0))) (exp (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (- 1.0 k) 2.0))) (cbrt (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (- 1.0 k) 2.0))) (* (* (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (- 1.0 k) 2.0)) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (- 1.0 k) 2.0))) (sqrt (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (- 1.0 k) 2.0))) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* 2.0 (* (* n (sqrt PI)) (sqrt PI))) (/ (/ (- 1.0 k) 2.0) 2)) (* (* n (sqrt PI)) (sqrt PI)) (* (* n (sqrt PI)) (sqrt PI)) (+ (+ (log n) (log (sqrt PI))) (log (sqrt PI))) (+ (log (* n (sqrt PI))) (log (sqrt PI))) (log (* (* n (sqrt PI)) (sqrt PI))) (exp (* (* n (sqrt PI)) (sqrt PI))) (* (* (* (* n n) n) (* (* (sqrt PI) (sqrt PI)) (sqrt PI))) (* (* (sqrt PI) (sqrt PI)) (sqrt PI))) (* (* (* (* n (sqrt PI)) (* n (sqrt PI))) (* n (sqrt PI))) (* (* (sqrt PI) (sqrt PI)) (sqrt PI))) (* (cbrt (* (* n (sqrt PI)) (sqrt PI))) (cbrt (* (* n (sqrt PI)) (sqrt PI)))) (cbrt (* (* n (sqrt PI)) (sqrt PI))) (* (* (* (* n (sqrt PI)) (sqrt PI)) (* (* n (sqrt PI)) (sqrt PI))) (* (* n (sqrt PI)) (sqrt PI))) (sqrt (* (* n (sqrt PI)) (sqrt PI))) (sqrt (* (* n (sqrt PI)) (sqrt PI))) (* (* n (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI)))) (* (* n (sqrt PI)) (sqrt (* (cbrt PI) (cbrt PI)))) (* (* n (sqrt PI)) (sqrt (sqrt PI))) (* (* n (sqrt PI)) (sqrt 1)) (* (* n (sqrt PI)) (sqrt (sqrt PI))) (* (* n (sqrt PI)) 1) (* (sqrt PI) (sqrt PI)) (* n (sqrt PI)) (* n (sqrt PI)) (- (+ (* 0.25 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) (pow k 2))))) (+ (* 0.125 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (pow (log n) 2) (pow k 2)))) (+ (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* 0.125 (* (pow (log (* 2.0 PI)) 2) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (pow k 2))))))) (+ (* 0.5 (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) (* (log n) k))) (* 0.5 (* (log (* 2.0 PI)) (* (exp (* 0.5 (+ (log (* 2.0 PI)) (log n)))) k))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* 2.0 PI)) (log (/ 1 n)))))) (exp (* 0.5 (* (- 1.0 k) (- (log (* -2.0 PI)) (log (/ -1 n)))))) (* n PI) (* n PI) (* n PI) 16.749 * * [simplify]: iteration 0: 165 enodes 16.803 * * [simplify]: iteration 1: 459 enodes 17.011 * * [simplify]: iteration 2: 1949 enodes 17.516 * * [simplify]: iteration complete: 5000 enodes 17.517 * * [simplify]: Extracting #0: cost 53 inf + 0 17.529 * * [simplify]: Extracting #1: cost 460 inf + 599 17.538 * * [simplify]: Extracting #2: cost 1354 inf + 13449 17.551 * * [simplify]: Extracting #3: cost 1526 inf + 82441 17.614 * * [simplify]: Extracting #4: cost 778 inf + 329757 17.746 * * [simplify]: Extracting #5: cost 291 inf + 513654 17.868 * * [simplify]: Extracting #6: cost 96 inf + 573253 17.972 * * [simplify]: Extracting #7: cost 20 inf + 599927 18.132 * * [simplify]: Extracting #8: cost 1 inf + 605696 18.298 * * [simplify]: Extracting #9: cost 0 inf + 606041 18.438 * [simplify]: Simplified to: (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (log (sqrt PI)) (exp (sqrt PI)) (* (cbrt (sqrt PI)) (cbrt (sqrt PI))) (cbrt (sqrt PI)) (* (sqrt PI) PI) (fabs (cbrt PI)) (sqrt (cbrt PI)) (sqrt (sqrt PI)) (sqrt (sqrt PI)) 1 (sqrt PI) 1/2 (sqrt (sqrt PI)) (sqrt (sqrt PI)) (* (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0)) (* (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0)) (* (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0)) (* (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0)) (* (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0)) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (/ (- 1.0 k) 2.0) (pow (* n (* PI 2.0)) (/ 1.0 2.0)) (pow (* n (* PI 2.0)) (/ k 2.0)) (pow (* n (* PI 2.0)) (* (cbrt (/ (- 1.0 k) 2.0)) (cbrt (/ (- 1.0 k) 2.0)))) (pow (* n (* PI 2.0)) (sqrt (/ (- 1.0 k) 2.0))) (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (cbrt 2.0)) (/ (cbrt (- 1.0 k)) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (* (/ (cbrt (- 1.0 k)) (sqrt 2.0)) (cbrt (- 1.0 k)))) (pow (* n (* PI 2.0)) (* (cbrt (- 1.0 k)) (cbrt (- 1.0 k)))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ (sqrt (- 1.0 k)) (sqrt 2.0))) (pow (* n (* PI 2.0)) (sqrt (- 1.0 k))) (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ 1 (sqrt 2.0))) (* n (* PI 2.0)) (pow (* n (* PI 2.0)) (/ (/ (+ (sqrt 1.0) (sqrt k)) (cbrt 2.0)) (cbrt 2.0))) (pow (* n (* PI 2.0)) (/ (+ (sqrt 1.0) (sqrt k)) (sqrt 2.0))) (pow (* n (* PI 2.0)) (+ (sqrt 1.0) (sqrt k))) (pow (* n (* PI 2.0)) (/ 1 (* (cbrt 2.0) (cbrt 2.0)))) (pow (* n (* PI 2.0)) (/ 1 (sqrt 2.0))) (* n (* PI 2.0)) (* n (* PI 2.0)) (pow (* n (* PI 2.0)) (- 1.0 k)) (pow 2.0 (/ (- 1.0 k) 2.0)) (pow (* n PI) (/ (- 1.0 k) 2.0)) (* (log (* n (* PI 2.0))) (/ (- 1.0 k) 2.0)) (exp (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (cbrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (* (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)) (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0)))) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (sqrt (pow (* n (* PI 2.0)) (/ (- 1.0 k) 2.0))) (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (pow (* n (* PI 2.0)) (/ (/ (- 1.0 k) 2.0) 2)) (* n PI) (* n PI) (log (* n PI)) (log (* n PI)) (log (* n PI)) (exp (* n PI)) (* (* n PI) (* (* n PI) (* n PI))) (* (* n PI) (* (* n PI) (* n PI))) (* (cbrt (* n PI)) (cbrt (* n PI))) (cbrt (* n PI)) (* (* n PI) (* (* n PI) (* n PI))) (sqrt (* n PI)) (sqrt (* n PI)) (* (sqrt PI) (* n (* (cbrt (sqrt PI)) (cbrt (sqrt PI))))) (* (* (sqrt PI) n) (fabs (cbrt PI))) (* (sqrt (sqrt PI)) (* (sqrt PI) n)) (* (sqrt PI) n) (* (sqrt (sqrt PI)) (* (sqrt PI) n)) (* (sqrt PI) n) PI (* (sqrt PI) n) (* (sqrt PI) n) (- (+ (+ (* (* (log (* PI 2.0)) 0.25) (* (* (exp (* (log (* n (* PI 2.0))) 0.5)) (* k k)) (log n))) (+ (exp (* (log (* n (* PI 2.0))) 0.5)) (* 0.125 (* (* k k) (* (exp (* (log (* n (* PI 2.0))) 0.5)) (* (log (* PI 2.0)) (log (* PI 2.0)))))))) (* (* (* (* k (log n)) (* k (log n))) (exp (* (log (* n (* PI 2.0))) 0.5))) 0.125)) (* (+ (* (exp (* (log (* n (* PI 2.0))) 0.5)) (* k (log n))) (* (exp (* (log (* n (* PI 2.0))) 0.5)) (* k (log (* PI 2.0))))) 0.5)) (exp (* (* (log (* n (* PI 2.0))) 0.5) (- 1.0 k))) (exp (* (* 0.5 (- (log (* PI -2.0)) (log (/ -1 n)))) (- 1.0 k))) (* n PI) (* n PI) (* n PI) 18.449 * * * [progress]: adding candidates to table 18.929 * [progress]: [Phase 3 of 3] Extracting. 18.929 * * [regime]: Finding splitpoints for: (# # # # # # # #) 18.931 * * * [regime-changes]: Trying 2 branch expressions: (n k) 18.931 * * * * [regimes]: Trying to branch on n from (# # # # # # # #) 19.023 * * * * [regimes]: Trying to branch on k from (# # # # # # # #) 19.132 * * * [regime]: Found split indices: #